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

This algebra and precalculus video tutorial explains how to solve exponential growth and decay word problems. It provides the formulas and equations / functions that you need to solve it.
Algebra For Beginners: • Algebra For Beginners ...
Logarithms - The Easy Way!
• Logarithms - The Easy ...
Solving Exponential Equations:
• Solving Exponential Eq...
Solving Logarithmic Equations:
• Solving Logarithmic Eq...
Logarithmic Equations - Different Bases:
• Solving Logarithmic Eq...
__________________________________
Compound Interest Word Problems:
• Compound Interest
Interest Compounded Continuously:
• Interest Compounded Co...
Population Growth Word Problems:
• Compound Interest & Po...
Logarithms Practice Problems:
• Logarithms - Practice ...
Where does "e" come from?
• Logarithms - e - Euler...
____________________________________
Logistic Growth Function:
• Logistic Growth Functi...
Newton's Law of Cooling:
• Newton's Law of Coolin...
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/fGLFYpWbh5imhM0

[@a_decent_succ4320]

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

[@CommieGoose]

Samee

[@Qwnntm]

Same bro

[@fuzewrk]

Sammmmmmme

[@neoific1137]

Same

[@immobilemonkey9263]

already know bro

[@shaymccaw-weigel4437]

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]

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

[@thatstopmotionguyonyt1973]

Same situation here!

[@kriti910]

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

[@HeirsToAFallenYear]

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

[@sarapierce5864]

Jesse Milewitz and this ones crying over fricken math

[@kayleelah4684]

😂

[@pakchannel2231]

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

[@davehan236]

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

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Dave Han same its a break

[@wolfinthesuit]

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

[@ethanpecina1769]

Who's here the day before their exam?

[@hurst280]

yessir

[@BigHamz]

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

[@helpmeget5ksubscribers882]

My test is today

[@vinsmoke4847]

ᕼᗩᗰᘔ how did it go?

[@osono4818]

Exactly 😂

[@Gio102897]

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

[@TheOrganicChemistryTutor]

Thanks

[@hendryxcapino3998]

Do we need to represent b=1+r?

[@nn-taleb]

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

[@geraldjinx]

@@TheOrganicChemistryTutor hi

[@Equa123]

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

[@bixie0987]

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

[@kindlystyles9246]

Indeed

[@georgesadler7830]

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]

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

[@piperdozier660]

This is EXTREMELY helpful. Thank you so much

[@jovannyc7158]

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]

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

[@nicolejaja270]

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

[@mayrose6175]

My teacher is trying to get us to use khan academy, I've never understood it, so here I am lol

[@cathyd5618]

THIS HELPED SO MUCH THANK YOU

[@Naomi-rf1bl]

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

[@realabbas24]

IKR I’ve been studying all day for a test

[@ayad2928]

I love this feeling

[@s87utbe]

Me too

[@jonathanguerrier5508]

That is extremely helpful! Thank you very much

[@ianvonderharr6426]

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

[@okthen9145]

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

[@viewslul2206]

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

[@timmytank9525]

This helped me so much, Thank you.

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

[@dayationsdmovedchannel9904]

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

[@Qwnntm]

Thanks man! I was tired and stuck on this.

[@nadeenmoreb1681]

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

[@My-Little-Buttons]

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

[@hannahalyssa1473]

Thank you this helped so much!!

[@christinebuca652]

A very helpful channel it is! ❤

[@nikki3093]

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

[@louie8943]

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

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thank you for this video, it rlly helped!

[@boomlove3454]

THANKS MAN THIS IS A GREAT HELP

[@datchiman0952]

This is getting me through the quarantine

[@cvckw]

You just saved my exam thank youuuuuu

[@lacatrina8937]

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?...

[@carsonakis8424]

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

[@jacobbuckley6377]

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?"

[@johnaldrinlivado4837]

Ty for this tutorial Organic Chem.

[@Double_Raptor]

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

[@yeheheshhddh6254]

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

[@ryanhabibion6597]

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

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Wow

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

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This video it's really helpful for SAT

[@azariaiscool]

My glorious king Organic Chemistry Tutor

[@marcodewet8057]

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...

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

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I love this guy so much.

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[@khff9953]

it really helped me thanks a lot

[@luciangalev7085]

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]

The Question was how many are there 18 minutes after?

[@ryanchandra5367]

then the rate is just 1

[@dummy8306]

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]

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

[@moritz8357]

@@dummy8306 thanks

[@alexsebastien6798]

Great vid thanks for the help😁

[@jaff3760]

Thank you so much

[@grippingfox1824]

This video is so helpful

[@AAsHHlEEy15]

THANK YOU SO MUCH ! math 120 is killing me 😓

[@opisiren9403]

7:13 Look at the paper and Cry dug

[@magicmeow8670]

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

[@xdgaming952]

So basically decay is exponential decrease right?

[@hamdanv1189]

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

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u are a life saver

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me too

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i know right

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Thanks man!

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Bro is actually Abt to save me from the interim

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[@dragonofthewest8305]

I don’t know much about maths but I just wanted to know what is the difference between Phi/ the golden ratio and Euler’s number/e and are the the same as or connected to the progression/Logarithmic Curves ?

[@goodguybread1694]

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

[@anthm9908]

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

[@codyschmidt4089]

how well did you do?

[@year_f_the_fx4029]

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

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I know, right ✅️

[@tiktokfandom2128]

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

[@patrickmayer9218]

2021 gang

[@madhuvarghesek]

Your John problem was really good. I felt like i was Johnny Johnny. :)

[@m3ga975]

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

[@leesheiannaashworth2708]

This helped cuz Ian understand my teacher

[@ethangaldau5766]

Lmao at 1:37 who heard the crunch, but besides that the vid really helped

[@tequila5106]

Thank you.

[@janarussell982]

So helpful! Thanks

[@romeisaagameraldein8395]

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

[@eliascuello6999]

U are awesome bro

[@ryanchandra5367]

nice video, helped a lot!

[@rafielmesaias]

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

[@attackman4458]

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

[@Slavemassa]

Gotta finish this before 11:59 on canvas

[@huzaifaakram2544]

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.

[@laundrydetergent8163]

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

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he did bro...he did

[@ramiallan525]

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

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

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God bless you

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

[@chansonida]

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

[@kendallmuegge]

Chansonida because he’s not gay

[@macka71]

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]

Chansonida it wasn’t continuous growth

[@davidarevalo1925]

macka71 isn’t k just .08

[@blade2833]

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

[@dababy356]

thanks bro

[@okuu_utsuho]

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.

[@codyschmidt4089]

did you pass?

[@jupitermoon4880]

Greetings from the year 2020

[@rseesr7743]

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

[@tronofficial_]

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]

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

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[@gregdag143]

Thx bro

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

[@kay8747]

Why is b (1+R)?

[@nathantawfik7100]

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]

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