This MATHguide video demonstrates how to calculate for population or time within population growth word problems. It also shows how to use logarithms to solve for time. Visit our text based lesson at www.mathguide.c....
I was taking an online exam. I could not find any formula in the book for the chapters we studied and spun my wheels for hours. I then found this link. It was exactly what I needed, the variables and explanation were perfect. This question was 33% of the exam score and got it correct. Thank you so much!!!
The logistic population growth model is described by an equation of the form P(t) = PL/(1 − ce−kt) , Where PL, c, and k > 0 are constants, and P(t) is the population at time t. PL represents the limiting value of the population since limt→∞ P(t) = PL. Use the census data for the years 1950, 1960, and 1970 listed in the table on page 105 to determine the constants PL, c, and k for a logistic growth model. Use the logistic model to predict the population of the United States in 1980 and in 2010, assuming t = 0 at 1950. Compare the 1980 prediction to the actual value. *Please Solve ?*
Can you help calculating Noah time starting with 4 couples for 4000 years. Looking at your math model human race started only several thousands years back
Sir I need calcilations to find r for t =10 Please post one video showing the calculation of r for a decade.. and applying the same r calculation for population projection for next 10 years
misleading when stating countries have negative growth, people don't understand that the rate may be negative, but the countries are still having growth of population. in other words the population itself is still increasing whether the rate is negative or not. The truth is, that the population will continue to grow, and eventually we will run out of resources, water, food, etc.. when I was born less than 3 billion people on earth, now 7 billion, we will never see a decline in the actual population, only a decline in the rate of growth, and that's why I get angry with statisticians that don't really explain in laymen's terms, that their rhetoric is bs. The worlds population will never go down, it would take a nuclear war or distaster for that to happen, that's why our wonderful governments will have to lead us in that direction at some time in the future, this is a fact, and the only way to avoid this is to colonize into space, in other words, become completely self=sufficient.
The logistic population growth model is described by an equation of the form P(t) = PL/(1 − ce−kt) , Where PL, c, and k > 0 are constants, and P(t) is the population at time t. PL represents the limiting value of the population since limt→∞ P(t) = PL. Use the census data for the years 1950, 1960, and 1970 listed in the table on page 105 to determine the constants PL, c, and k for a logistic growth model. Use the logistic model to predict the population of the United States in 1980 and in 2010, assuming t = 0 at 1950. Compare the 1980 prediction to the actual value. *Please Solve ?*
Population Growth Quizmaster
www.mathguide.com/cgi-bin/quizmasters2/L2.cgi
Exponential Functions
www.mathguide.com/lessons3/ExpFunctions.html
Logarithmic Functions
www.mathguide.com/lessons2/Logs.html
I was looking for this one. Thank God you saved my life!
Same 😁
I was taking an online exam. I could not find any formula in the book for the chapters we studied and spun my wheels for hours. I then found this link. It was exactly what I needed, the variables and explanation were perfect. This question was 33% of the exam score and got it correct. Thank you so much!!!
Excellent!
Wow....you broke it down so easy. Thank you!! I have been struggling to grasp this concept.
I've found different methods of population projections (arithmetic, geometric and logarithmic). Which method is best and for which scenarios?
The logistic population growth model is described by an equation of the form P(t) = PL/(1 − ce−kt) , Where PL, c, and k > 0 are constants, and P(t) is the population at time t. PL represents the limiting value of the population since limt→∞ P(t) = PL. Use the census data for the years 1950, 1960, and 1970 listed in the table on page 105 to determine the constants PL, c, and k for a logistic growth model. Use the logistic model to predict the population of the United States in 1980 and in 2010, assuming t = 0 at 1950. Compare the 1980 prediction to the actual value. *Please Solve ?*
it's not so scary the way you put it, BUT I'M STILL SACRED!
Tom Hall Glad it helped.
thank you
Life saving you saved me from failing grades thank youuu
What of for arithmetic method
I am so happy I stumbled across your video! Omg 😩...you have helped me out a lot 👌🏽. #NewSubscriber
+Tia Germany I'm glad this math resource helped you. There are many more free and interactive resources available at www.mathguide.com/.
This video is really helpful, thank you!
Glad it helped!
Howd you get 8886? I'm confuse
6200×(2.718)^0.015(24)=8886
e=2.718
Thank for this
you saved my life thank you god bless
it's a great one.
Thank you for the support.
Is the pemdas useful in solving this problem?
I was confused how did you solve it on your calculator. Can you please show it how?
ugh same
plug in ln(400/321) first and it should equal .2202.... then you ans/.007 to equal 31.43
Thank you Sir, I've learned a lot😁❤👌👍
Excellent!
I learned a lot! Thanks for this
You are very welcome!
@@MATHguide I hope you will also solve about finding the nth term in the Fibonacci sequence.
Thanks a lot
I try using calculator is not the same as your answer. can you help me?
hiw did you get the 8886
...where in the calculator
A TI-Nspire was used... exactly as you see it here.
Can you help calculating Noah time starting with 4 couples for 4000 years. Looking at your math model human race started only several thousands years back
Sir
I need calcilations to find r for t =10
Please post one video showing the calculation of r for a decade..
and applying the same r calculation for population projection for next 10 years
You need to watch the video again.
How did it become 31.4?? May calculator says its 3.14? I'll wait for your reply thanks😊
plug in ln(400/321) first and it should equal .2202.... then you ans/.007 to equal 31.43
Thank you
You are welcome!
perfect thank you!
how do you get
A= 8886?
omg, thanks. Now I get it ❤
Awesome!
What is the name of this function??thanks for your explanation.
Logarithms are used to solve exponential equations that have variable exponents.
how about if your trying to find out how many years it would tak for the population to reach a certain amount?
Check out this lesson. There is a section on human population.
www.mathguide.com/lessons2/Logs.html
Where do you get the constant from? What makes it 2.7182818284?
The constant e comes from a limit. If you calculate (1 + 1/n)^n as n approaches infinity, you will get e.
Lisoda ani ngart uy
Sir how to get rate
Something isn't coming out right for me. 400/321=1.246 Natural log of 2.71 is .9969 | .9969* 1.246 = 1.242 | 1.242/.007 = 177.47 What did I miss?
ln(1.246) is what you should be doing, not ln(2.71).
@@MATHguide isn't e = 2.7? and you said the natural log of e was essentially 1 or I calculated it to.9969. I think I am still missing something.
ln(400/321) = ln(1.246) = 0.220, not 0.9969.
What if the t is missing and P, A, and r i only in the given?
You didn't watch the entire video. The second problem answers your question. (See video at 6:29.)
th-cam.com/video/ZgOYp0L1BI4/w-d-xo.htmlm29s
@@MATHguide is it important that I use "In" instead of "log,"??
I'm confused on how you got 8886 as the answer
Start watching again at 4:00, or click here.
th-cam.com/video/ZgOYp0L1BI4/w-d-xo.htmlm
thanks for the help :)
Glad it helped!
how get the 8886 can you explain?
Plug the numbers into the formula.
Спасибо
You are welcome.
What if the "r" is missing
Vince Gabad That is a problem similar to the example we have 7 minute into the video. It will involve logarithms.
MATHguide i actually figure it out from trial and error base on the question 2 so thanks a lot.
Trial and error is a great strategy!
What if P is missing?
@@kylea7371 try this formula
P= A over e ↑rt
7% is 0.007?????
7% is 0.07. However, the problem has a 0.7%, which is 0.007.
th-cam.com/video/ZgOYp0L1BI4/w-d-xo.html
0.7%=7/10%=7/10×1/100=7/1000=0.007
Watching this today (October26,2020)
Geez Louise!
Can you show us a problem if P is the missing one?,😥
It would be A divided by e^(rt).
31.4? Are u supposed to move the decimal? Or an error?
Check out the calculation, here:
th-cam.com/video/ZgOYp0L1BI4/w-d-xo.htmlm32s
Online class brought me here 😭
How did he get 8886?
Help
misleading when stating countries have negative growth, people don't understand that the rate may be negative, but the countries are still having growth of population. in other words the population itself is still increasing whether the rate is negative or not. The truth is, that the population will continue to grow, and eventually we will run out of resources, water, food, etc.. when I was born less than 3 billion people on earth, now 7 billion, we will never see a decline in the actual population, only a decline in the rate of growth, and that's why I get angry with statisticians that don't really explain in laymen's terms, that their rhetoric is bs. The worlds population will never go down, it would take a nuclear war or distaster for that to happen, that's why our wonderful governments will have to lead us in that direction at some time in the future, this is a fact, and the only way to avoid this is to colonize into space, in other words, become completely self=sufficient.
Paul N/A You have a lot of thoughts on this. Thank you for sharing.
If it's 7 percent for the second problem, it should be 0.07, not 0.007.
It was 0.7%
hi
Jesus Christ loves you 🥺
I hate math
Mathematics is the language of the Universe.
The logistic population growth model is described by an equation of the form P(t) = PL/(1 − ce−kt) , Where PL, c, and k > 0 are constants, and P(t) is the population at time t. PL represents the limiting value of the population since limt→∞ P(t) = PL. Use the census data for the years 1950, 1960, and 1970 listed in the table on page 105 to determine the constants PL, c, and k for a logistic growth model. Use the logistic model to predict the population of the United States in 1980 and in 2010, assuming t = 0 at 1950. Compare the 1980 prediction to the actual value. *Please Solve ?*
This isn't a homework help site. Sorry.