Exponential Growth and Decay Word Problems & Functions - Algebra & Precalculus

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  • เผยแพร่เมื่อ 18 พ.ย. 2024

ความคิดเห็น • 410

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +10

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: th-cam.com/video/F1b1beR3sNk/w-d-xo.html

  • @shaymccaw-weigel4437
    @shaymccaw-weigel4437 4 ปีที่แล้ว +194

    I have been abandoned to the wolves by a math prof who has given us far too little information in this online class with an online text book to find my way to understand any of these things. You are a saint and I can't tell you how much I appreciate this.

    • @josetorres3355
      @josetorres3355 2 ปีที่แล้ว +1

      Same situation i'm currently in ..... SMH

    • @thatstopmotionguyonyt1973
      @thatstopmotionguyonyt1973 2 ปีที่แล้ว

      Same situation here!

    • @kriti910
      @kriti910 8 หลายเดือนก่อน

      ah yes, It seems every year we got prof who just does this from across the country and world... -_-

  • @pakchannel2231
    @pakchannel2231 5 ปีที่แล้ว +106

    I love how you start with simpler problems and slowly move towards the harder ones and your sooo cleearrr. Tysm!

  • @davehan236
    @davehan236 5 ปีที่แล้ว +111

    I love how I get all these adds about not doing exactly what I'm doing

    • @maya-bk5fq
      @maya-bk5fq 4 ปีที่แล้ว

      Dave Han same its a break

    • @wolfinthesuit
      @wolfinthesuit 4 ปีที่แล้ว +2

      Did you understand yourself before we can understand what you saying lmao

  • @Gio102897
    @Gio102897 7 ปีที่แล้ว +192

    Your first bacteria example was extremely helpful. Thank you so much.

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  7 ปีที่แล้ว +40

      Thanks

    • @hendryxcapino3998
      @hendryxcapino3998 4 ปีที่แล้ว

      Do we need to represent b=1+r?

    • @nn-taleb
      @nn-taleb 2 ปีที่แล้ว

      ​@@hendryxcapino3998 only if it is an exponential growth, if it is a decay we can just subtract by 1 instead. (1 - r)

    • @geraldjinx
      @geraldjinx 2 ปีที่แล้ว

      @@TheOrganicChemistryTutor hi

    • @YesOrNoGo
      @YesOrNoGo ปีที่แล้ว

      The last one give me migraine bc I don’t know where to get 10^6 / My thoughts, 500m divided by 8100 = exponent

  • @ethanpecina1769
    @ethanpecina1769 4 ปีที่แล้ว +974

    Who's here the day before their exam?

    • @hurst280
      @hurst280 4 ปีที่แล้ว +11

      yessir

    • @BigHamz
      @BigHamz 4 ปีที่แล้ว +97

      My test is next hour my dude. Pray for me cuz I need it. Bless

    • @helpmeget5ksubscribers882
      @helpmeget5ksubscribers882 4 ปีที่แล้ว +19

      My test is today

    • @vinsmoke4847
      @vinsmoke4847 4 ปีที่แล้ว +1

      ᕼᗩᗰᘔ how did it go?

    • @osono4818
      @osono4818 4 ปีที่แล้ว +3

      Exactly 😂

  • @HeirsToAFallenYear
    @HeirsToAFallenYear 4 ปีที่แล้ว +232

    There's officially 3172 rabbits here the day before their exam.

    • @sarapierce5864
      @sarapierce5864 4 ปีที่แล้ว +2

      Jesse Milewitz and this ones crying over fricken math

    • @kayleelah4684
      @kayleelah4684 3 ปีที่แล้ว +3

      😂

  • @jovannyc7158
    @jovannyc7158 4 ปีที่แล้ว +58

    Thank you so much!!!! I’m stuck in quartine without a tutor! I’ve tried khan academy and it was so confusing! You’ve made it look so easy ❤️❤️

    • @umartariq958
      @umartariq958 4 ปีที่แล้ว +2

      i started with that but i dont go near it anymore for the same reason,it confuses me alot.

    • @nicolejaja270
      @nicolejaja270 3 ปีที่แล้ว +1

      I came here because I spent almost all day trying to understand exponential growth from khan academy as well

  • @georgesadler7830
    @georgesadler7830 2 ปีที่แล้ว +5

    MR. Organic Chemistry Tutor, thank you for a solid explanation of Exponential Growth and Decay Word Problems in Precalculus. These are real world problems that has a direct impact on everyday life.

  • @emomu
    @emomu 5 ปีที่แล้ว +7

    Thank you so much for this tutorial!!! I really helped me prepare for the PSAT!!!

  • @okthen9145
    @okthen9145 4 ปีที่แล้ว +4

    Your formulas are so much more simple than the (1+r/n)^nt I'm being asked to do in my class.

  • @a_decent_succ4320
    @a_decent_succ4320 4 ปีที่แล้ว +727

    Here I am at 1am doing math, hell yeah
    08/04/23 it has been 2 years, I am currently in university revisiting this video at 2AM. I haven't changed in the fucking slightest

  • @Naomi-rf1bl
    @Naomi-rf1bl 5 ปีที่แล้ว +38

    Thank you so much, Im super tired and Now I can finally go sleep haha

    • @realabbas24
      @realabbas24 4 ปีที่แล้ว +2

      IKR I’ve been studying all day for a test

    • @ayad2928
      @ayad2928 4 ปีที่แล้ว

      I love this feeling

    • @s87utbe
      @s87utbe 6 หลายเดือนก่อน

      Me too

  • @BlueEye096
    @BlueEye096 23 วันที่ผ่านมา

    Had no idea how to calculate exponential decay and my math textbook didn't explain it either despite having one in its assignments! Thank you so much!

  • @My-Little-Buttons
    @My-Little-Buttons 9 หลายเดือนก่อน +1

    Love your videos! Honestly you've been teaching it better than my teacher! Thank you! 🙏

  • @nikki3093
    @nikki3093 2 ปีที่แล้ว +3

    Problem at 3:45 was so helpful! Thank you so much man

  • @azariaiscool
    @azariaiscool 9 หลายเดือนก่อน +1

    My glorious king Organic Chemistry Tutor

  • @viewslul2206
    @viewslul2206 4 ปีที่แล้ว +1

    THANK YOU SO MUCH I WAS STUCK ON A MATH ASSIGNMENT FOR 3 HOURS CAUSE I COULDN'T FIGURE THIS OUT!!!

  • @carsonakis8424
    @carsonakis8424 4 ปีที่แล้ว +13

    Being in 2020 now I can confirm there are 3172 rabbits on that island I counted them myself

  • @marcodewet8057
    @marcodewet8057 5 ปีที่แล้ว +3

    For the last question you could just simply take log3 of 5x10 to the power of 6 then you would get 14,04 then you need to divide it by 4 in order to take it from 1 hour to 15 min, just a short way...

  • @louie8943
    @louie8943 2 ปีที่แล้ว

    Last year of high school is killin me
    But this is making it 10x easier
    THANK YOU

  • @luciangalev7085
    @luciangalev7085 6 ปีที่แล้ว +20

    What if we are not given a rate?
    e.g.: The number of bacteria in a culture decreases according to a continuous exponential decay model. The initial population in a study is 320 bacteria, and there are 240 bacteria left after 7 minutes.

    • @luciangalev7085
      @luciangalev7085 6 ปีที่แล้ว

      The Question was how many are there 18 minutes after?

    • @ryanchandra5367
      @ryanchandra5367 6 ปีที่แล้ว +1

      then the rate is just 1

    • @dummy8306
      @dummy8306 6 ปีที่แล้ว +6

      Lucian Galev
      That means you would have to do 240=320(1-r)^7 and then get r by itself to find the rate. The next steps are pretty straight forward from there. I know I’m late but I’m just saying 😬

    • @dummy8306
      @dummy8306 6 ปีที่แล้ว +3

      Ryan Chandra
      You can’t assume the rate because then it won’t give you 240 bacteria leftover.

    • @moritz8357
      @moritz8357 5 ปีที่แล้ว

      @@dummy8306 thanks

  • @Qwnntm
    @Qwnntm 3 ปีที่แล้ว +1

    Thanks man! I was tired and stuck on this.

  • @death_stroke5372
    @death_stroke5372 2 ปีที่แล้ว +2

    Ad: Are videos from 2016 really helping
    Me: watching this video saying yes proudly (skips ad)

  • @ryanhabibion6597
    @ryanhabibion6597 8 หลายเดือนก่อน +1

    My math teacher just talks about big foot so I just stopped going and now use u as my math teacher thank you

  • @nadeenmoreb1681
    @nadeenmoreb1681 4 ปีที่แล้ว +1

    thank you sooo much it helped me a lot with my calculus course

  • @piperdozier660
    @piperdozier660 6 ปีที่แล้ว +6

    This is EXTREMELY helpful. Thank you so much

  • @jasflower1710
    @jasflower1710 7 หลายเดือนก่อน +2

    Thanks alot my daughter is passing because of your videos. 2024

  • @edgarm2036
    @edgarm2036 3 ปีที่แล้ว +2

    2021 and still so helpful !! by the way my exam is tomorrow :D

  • @year_f_the_fx4029
    @year_f_the_fx4029 ปีที่แล้ว +1

    Aint no way 9:08 was the exact question on my test, im so glad i watched this video

    • @s87utbe
      @s87utbe 6 หลายเดือนก่อน

      I know, right ✅️

  • @datchiman0952
    @datchiman0952 4 ปีที่แล้ว

    This is getting me through the quarantine

  • @yeheheshhddh6254
    @yeheheshhddh6254 4 ปีที่แล้ว +16

    Watching this instead of my algebra teachers lesson which is 60 minutes long and wasted my time

  • @bixie0987
    @bixie0987 7 หลายเดือนก่อน +11

    In 2024, I can indeed guarantee that this exact car costs $20,816.44

  • @ab_obada5012
    @ab_obada5012 3 ปีที่แล้ว

    This video it's really helpful for SAT

  • @goodguybread1694
    @goodguybread1694 3 ปีที่แล้ว +2

    Here I am learning this 20 minutes before the STAAR test begins

    • @anthm9908
      @anthm9908 2 ปีที่แล้ว

      I remember doing the staar test...then u moved and I'm doing final exams R.I.P

    • @codyschmidt4089
      @codyschmidt4089 ปีที่แล้ว

      how well did you do?

  • @MISAMASOMI
    @MISAMASOMI 18 วันที่ผ่านมา

    ur video is very helpful,thank you for that.Also I dint get the part in the third example about the future and present and then the past was present and the future te past.....just asking the questions for other viewers like me I hope I'm not the only one LOL

  • @AngryPokey
    @AngryPokey ปีที่แล้ว +1

    Bro is actually Abt to save me from the interim

  • @cathyd5618
    @cathyd5618 6 ปีที่แล้ว +6

    THIS HELPED SO MUCH THANK YOU

  • @johnaldrinlivado4837
    @johnaldrinlivado4837 3 ปีที่แล้ว

    Ty for this tutorial Organic Chem.

  • @huzaifaakram2544
    @huzaifaakram2544 4 หลายเดือนก่อน

    you can also put a as the present value for 225000. and u can do the time 13 months as negative to show going back 13 months in the past. u will get the exact same value.

  • @yashpatel2345
    @yashpatel2345 2 ปีที่แล้ว

    Thanks for getting me an A on my quiz in algebra 2

  • @rafielmesaias
    @rafielmesaias 3 ปีที่แล้ว

    Sorry. I am a little confused. I thought exponential growth and decay of a population is when we apply the formula of A(t) = A* e^kt. Why we can't apply this formula. What is the difference?. And I think this is most for Compound interest. Thank you

  • @blastgodcasual2371
    @blastgodcasual2371 2 ปีที่แล้ว

    Thats what Im talking about, thats why hes the MVP, thats why hes the GOAT THE GOAT

  • @Double_Raptor
    @Double_Raptor 6 หลายเดือนก่อน

    Thank you so Much dude! you're a life saver.

  • @ianvonderharr6426
    @ianvonderharr6426 5 ปีที่แล้ว +1

    thank you very much. the problems are very well explained, and helped me relearn the subject quickly

  • @boomlove3454
    @boomlove3454 3 ปีที่แล้ว +1

    THANKS MAN THIS IS A GREAT HELP

  • @karaokeboy1071
    @karaokeboy1071 4 ปีที่แล้ว

    Thanks ,you are better than 👉other tutors 👍🤘

  • @jimmymeharry1055
    @jimmymeharry1055 10 หลายเดือนก่อน

    I love this guy so much.

  • @jacobbuckley6377
    @jacobbuckley6377 4 ปีที่แล้ว +3

    i like how when i went to this video for my online algebra class, there was an ad saying "What? still looking at youtube for math help?"

  • @xdgaming952
    @xdgaming952 4 ปีที่แล้ว +6

    So basically decay is exponential decrease right?

    • @hamdanv1189
      @hamdanv1189 3 ปีที่แล้ว +1

      Growth increases - Decay decreases, but this won't benefit you anymore lol been 10 months

  • @timmytank9525
    @timmytank9525 5 ปีที่แล้ว +3

    This helped me so much, Thank you.

  • @angenlois
    @angenlois 3 ปีที่แล้ว

    can you help me answer these?
    At the beginning of the year, a wildlife area that is 1,000,000 ha in size has a population of 90
    Brown bears with a per capita growth rate of 0.02. It's estimated that brown bears need a territory
    of about 10 km2
    per individual (note: 1 km2
    = 100 ha). Use this information to answer the
    following questions.
    a. What is the density of brown bears in this wildlife preserve currently?
    b. What is the carrying capacity of the preserve?
    c. What is the population growth rate for this year?

  • @everybody5087
    @everybody5087 6 ปีที่แล้ว +2

    your vid tought me much better than my teacher. Thanks

    • @Mohdzn
      @Mohdzn 5 ปีที่แล้ว

      me too

  • @Slavemassa
    @Slavemassa 3 ปีที่แล้ว +1

    Gotta finish this before 11:59 on canvas

  • @madeleinebanal4464
    @madeleinebanal4464 หลายเดือนก่อน

    you make my shs STEM life bearable

  • @magicmeow8670
    @magicmeow8670 2 ปีที่แล้ว

    i may find the last few helpful for algebra 2 thank you

  • @leesheiannaashworth2708
    @leesheiannaashworth2708 3 ปีที่แล้ว

    This helped cuz Ian understand my teacher

  • @jonathanguerrier5508
    @jonathanguerrier5508 7 ปีที่แล้ว +3

    That is extremely helpful! Thank you very much

  • @lacatrina8937
    @lacatrina8937 5 ปีที่แล้ว +4

    Excellent video!! thanks so much! :) I just have one question, how do you enter the division for the last problem, log[5x10^6]/4log3 in a TI-84 Plus Calculator?...

  • @nathantawfik7100
    @nathantawfik7100 3 ปีที่แล้ว

    for the third example with the house you can just make the exponent -13 for 13 years ago instead of 13 years from now and it still works

    • @alysiaq6932
      @alysiaq6932 2 ปีที่แล้ว

      Thanks! With this method should I use the growth or decay equation?

  • @blade2833
    @blade2833 4 ปีที่แล้ว

    for the problem where you are given the house value in 2015 and you are trying yo find the value in 2002, instead of doing all this work, you can just make the exponent -13, which is basically the number of years you have to go back

  • @dayationsdmovedchannel9904
    @dayationsdmovedchannel9904 3 ปีที่แล้ว

    I am going to use this for my math work. Seems pretty helpful :)

  • @thadz2493
    @thadz2493 2 ปีที่แล้ว

    u are a life saver

  • @tiktokfandom2128
    @tiktokfandom2128 3 ปีที่แล้ว +4

    This is funny because im actually watching in 2020 but in a couple hours its gonna be 2021 so i found this video just before it was too late - Dec. 31, 2020

  • @opisiren9403
    @opisiren9403 7 ปีที่แล้ว +10

    7:13
    Look at the paper and Cry dug

  • @PurpleLiquid-
    @PurpleLiquid- ปีที่แล้ว +1

    thank you bro

  • @cvckw
    @cvckw 5 ปีที่แล้ว

    You just saved my exam thank youuuuuu

  • @DollarDrift-j4n
    @DollarDrift-j4n 15 วันที่ผ่านมา

    I still can’t believe this vid was made almost 8 years ago meaning in 2016

  • @The_Panda_Log
    @The_Panda_Log 11 หลายเดือนก่อน

    Bro is actually saving me from failing online school which I genuinely hate ngl

  • @AAsHHlEEy15
    @AAsHHlEEy15 5 ปีที่แล้ว +1

    THANK YOU SO MUCH ! math 120 is killing me 😓

  • @attackman4458
    @attackman4458 4 ปีที่แล้ว

    If u haven’t plz make one on how to find the rate

  • @okuu_utsuho
    @okuu_utsuho 3 ปีที่แล้ว

    Tomorrow is my final exams for the first semester! If I passed it, I’ll thank you so much!
    Edit: Honestly, I didn’t understand this but with this vid, it seemed easy on ya boi.

  • @justicefoshreklethisvoiceb5468
    @justicefoshreklethisvoiceb5468 2 ปีที่แล้ว

    Your accent makes math easier to learn HELP😭😭😭

  • @75w26__
    @75w26__ ปีที่แล้ว

    TLDR
    growth = FV
    decay = PV
    percentage = CAGR

  • @MeiziVu
    @MeiziVu 6 วันที่ผ่านมา

    in the first problem. why not using P(t)=Poe^kt?

  • @dhanushh2171
    @dhanushh2171 ปีที่แล้ว

    Back in the 1960s, the group Spiral Staircase performed a song called "I Love You More Today than Yesterday", which includes the lyrics, "I love you more today than yesterday, but only half as much as tomorrow." Suppose the group first sang that song on (say) January 1, 1969. By how much would the singer's love have increased at the end of one year (January 1, 1970)?
    Please write your answer as an exponential expression with a base of 2 (i.e. write it as "2"x")
    if you know ans text me sir please

  • @tronofficial_
    @tronofficial_ ปีที่แล้ว

    im confused at the last question, isnt it 5x10^8? to get 500 million? or am i doing something wrong. Hope you can reply

  • @imgemini9134
    @imgemini9134 4 ปีที่แล้ว

    How about finding the number of years to get the value of number

  • @khff9953
    @khff9953 3 ปีที่แล้ว

    it really helped me thanks a lot

  • @laundrydetergent8163
    @laundrydetergent8163 4 ปีที่แล้ว +3

    I’m confused don’t you do the exponent first? Like before u multiply so wouldn’t you do the (1.08)^15 and then multiply that by 1000? Can someone explain

    • @ramiallan525
      @ramiallan525 4 ปีที่แล้ว

      he did bro...he did

    • @ramiallan525
      @ramiallan525 4 ปีที่แล้ว

      lol no hate but like u have to pay atttaioan
      ik my english is shitty

  • @grippingfox1824
    @grippingfox1824 3 ปีที่แล้ว

    This video is so helpful

  • @chansonida
    @chansonida 7 ปีที่แล้ว +19

    why didnt you use y=ae^kt? for the first problem

    • @kendallmuegge
      @kendallmuegge 6 ปีที่แล้ว +18

      Chansonida because he’s not gay

    • @macka71
      @macka71 6 ปีที่แล้ว +4

      I know you asked this a long time ago but it might help someone else... Either method is valid but to use your suggested equation you must first calculate the value of k. The method used here is quicker.

    • @iliekmathphysics
      @iliekmathphysics 5 ปีที่แล้ว +2

      Chansonida it wasn’t continuous growth

    • @davidarevalo1925
      @davidarevalo1925 5 ปีที่แล้ว

      macka71 isn’t k just .08

  • @jamaica2010ism
    @jamaica2010ism 10 หลายเดือนก่อน

    For the bacteria problem that doubles every 20 minutes, how would the equation be written if t was in minutes and not hours?

  • @kay8747
    @kay8747 5 ปีที่แล้ว +1

    Why is b (1+R)?

  • @m3ga975
    @m3ga975 3 ปีที่แล้ว

    Do you have a video taking up questions like the last one you did?

  • @jenzan
    @jenzan 5 ปีที่แล้ว +1

    Our teacher told us to use a(t)=a*e^rt
    And your equation is y=a(b)^x
    What's the difference?
    I solved for the first problem using my teacher's method and got a completely different answer

  • @nourhanali6210
    @nourhanali6210 5 ปีที่แล้ว +1

    thank you for this video, it rlly helped!

  • @christinebuca652
    @christinebuca652 4 ปีที่แล้ว

    A very helpful channel it is! ❤

  • @romeisaagameraldein8395
    @romeisaagameraldein8395 4 ปีที่แล้ว +2

    Please what the maening of (d)is it elur fixed ?and how (d=1+r)
    Please idont know this point

  • @jasminecarrada8421
    @jasminecarrada8421 3 ปีที่แล้ว +2

    Fuck yeah. I’m here the day of my exam that due at 3 today trying to speed run this💅

  • @jupitermoon4880
    @jupitermoon4880 4 ปีที่แล้ว

    Greetings from the year 2020

  • @bimuclips
    @bimuclips 4 ปีที่แล้ว

    Thank you Khan academy !it was very helpful. Please upload more .

  • @musicalmusa770
    @musicalmusa770 ปีที่แล้ว

    can you re teach the bacteria one, what do you mean by you can use minutes? Also what if the minutes is more than 60 mins how can you convert it to Hours then?

  • @bobrosswighair4473
    @bobrosswighair4473 5 ปีที่แล้ว

    Let’s say your equation is y = 25(.85)^t
    The question I need help with is “How much medicine is leaving the body each hour?” Would the answer be 15% or 85%? Because you get the .85 in the equation you’d have to do 1-0.15. I’m confused??

    • @mrtboo8
      @mrtboo8 5 ปีที่แล้ว

      Your rate is equal to 0.15, as 1-r is equal to 0.85

  • @tequila5106
    @tequila5106 3 ปีที่แล้ว

    Thank you.

  • @alishajohnson9959
    @alishajohnson9959 4 ปีที่แล้ว

    Which value represents the initial amount or (A)?

  • @rseesr7743
    @rseesr7743 4 ปีที่แล้ว

    2:57 am now and preparing for the test at 12:30 today

  • @dapaaaa_
    @dapaaaa_ ปีที่แล้ว

    hey, why not write the equation with (1+) when its the bacteria part where it starts to increase throughout the time

  • @EmmanuelJoshuaCajepe
    @EmmanuelJoshuaCajepe หลายเดือนก่อน

    Thank you very much

  • @youngboymari2812
    @youngboymari2812 2 ปีที่แล้ว +2

    What is the difference tho?