Exponential Function Word Problems

In this video, we'll tackle real-world problems that can be modeled using exponential functions. Understanding how to apply exponential functions to word problems is a critical skill that will help you see the practical applications of what you're learning in class. We’ll start by focusing on setting up exponential equations from word problems as that will set the stage for the rest of the problem. Identifying key features and unknown variables in each word problem will give us the components we need to build our exponential equation. We then use this exponential function to answer the question being asked in the word problem. Toward the end of the video we add in word problems that are solved using linear equations to add another layer of decision making to the process of solving word problems. A discussion on rounding will also be had throughout this video. With clear explanations and practical examples, you'll gain the skills needed to confidently solve word problems involving exponential functions. Don’t forget to like, comment, and subscribe for more educational math videos!
For additional practice, be sure to check out the workbook linked below.
Algebra 1: A Problem Set for Perfecting Your Skills
amzn.to/2kB7Jc5

[@marsrivers4639]

the line, ''we either have a turtle, or we don't have a turtle" made me laugh

[@typical106]

Thanks this really helped me before i took my finals i will share this with my friends

[@djonesmathematics]

Glad it helped!

[@brookevetter3845]

for real the only vid I watched that actually helped me understand and ur voice isnt annoying like the rest. u the goat djones

[@nilaydesaiii]

Thanks for this, i really needed this to understand it better since I am in 8th grade and in honors Algebra 1

[@mayabarber1836]

EIGHTH GRADE WTF

[@nilaydesaiii]

@@mayabarber1836 I mean yeah I'm big brain

[@mayabarber1836]

@@nilaydesaiii jeeez I did this in grade 11 and am refreshing myself for grade 12. Keep it up kid you're going places

[@sean8439]

same

[@kamini6043]

I took math 1 in 7th grade about to be a sophomore next year

[@imchasenbank5445]

god bless you sir thank you

[@IsabellaJohleeOpulencia]

is there a way to graph this and find its intercepts?

[@djonesmathematics]

Yes you can graph these, can be challenging because the base is not a whole number most of the time. For the y-intercept you can plug in t=0, no x-intercept for these functions.

[@katecollard2197]

Thanks mr Jones!!

[@princesjhanaaa6787]

What about for the first problem? Why did you round up if you were referring to the members of the gym? Isn't that supposed to be 146 only? And should be “we either have a member, or we don't have a member,” too?

[@djonesmathematics]

If the problem gives you rounding directions then we follow those over the logical approach.

[@MohdAnas-xz6fu]

when to use the other formula i.e. Q'=Qe^kt (where Q is the initial amount and k is the percentage of increase and t is the time)???

[@djonesmathematics]

That formula is for continuous compounding, definitely an interesting case to look into!

[@s.ophye.]

what calculator are you using?

[@djonesmathematics]

Using a TI - 84

[@sollyrella4689]

Thanks A LOT!

[@djonesmathematics]

You're welcome!

[@annakind3268]

Guys, I ACTUALLY UNDERSTAND!! This just confirms that my math teacher is poop. Thanks so much for this wonderful video 🫶🫶

[@anasalawneh596]

Thank you Very Useful

[@djonesmathematics]

Glad it was helpful!

[@Videos34776]

The third and fourth question are wrong. For instance the fourth question where you are asked to find the population of USA in 2007, it says there is an increase of 0.85% ANNUALLY meaning that 0.85% is increased every year. the answer is 434395 I believe

[@djonesmathematics]

I tried to run the computation a few different ways and could not seem to come up with your answer. Always intrigued by a different interpretation and approach to a math problem.

[@wilsonkamwana9869]

@@djonesmathematics the question indicated that the population increased annually, aint we supposed to multiply the rate by 7 first? like 0.85%*7=0.00595... that will be our rate... my suggestion though,waiting for your input

[@djonesmathematics]

@@wilsonkamwana9869 So the rate gets computed each year, this is where the exponent helps show the repeated multiplication. For this reason we would not multiply the rate by 7 to start.

[@chrissystewart6268]

I never learn this before my goal passed my GED 🎓

[@djonesmathematics]

Congratulations!

[@ricslib]

Thanks!🌾

[@djonesmathematics]

Any time!

[@ravenamahit2672]

Yow wazzup

[@アッカーマンあかね]

I can’t understand I have tast tomorrow