Lesson:Exponential Growth and Decay I got a 30% on my review . I want to know the correct answers and where i went wrong These are the questions 1. http://prntscr.com/b641xj I got A. for this one 2.http://prntscr.com/b6430l I originally chose B. Im thinking its D now. 3.http://prntscr.com/b643dm 4.http://prntscr.com/b643v5 I originally chose B. for this too. I dont know . 5.http://prntscr.com/b644bd I originally picked C. for this . Can someone please help me?
@zepdrix can you help me? (:
1. Correct
Hmm both answers you're leaning toward in number 2 declare that One half is `larger than` one. See a problem here?
Yes
1/2 < 1, ya? :) So clearly it's either A or C.
When you take a number less than 1, and multiply it by itself, it keeps getting smaller. Example: \(\large\rm .5\times.5=.25\) Which in fraction form would be: \(\large\rm \frac12\times\frac12=\frac14\) So we have decay, ya? The base is less than 1, so it keeps getting smaller.
Can you use that information to figure out number 3?
Oh I see
I think so
I know that it's 2>1
Using your Example, It's growth right? @zepdrix
good good good, larger than 1, so it gets bigger when we take powers of it.
Okay, Im going to try the number 4
Okay so for number 4 Im thinking A since Less than 1 @zepdrix
yay good job
Thankyou so much for helping me understand that !
ok with with the last one? It's mostly just plug and chug :)
Okay
Im thinking A @zepdrix
P=50, n=5, \(\large\rm B=50(1.08)^5\)
So whatever that gives us, use a calculator.
Okay Thankyou!!
I aced my test (: Thanks @zepdrix
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