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Mathematics 25 Online
OpenStudy (bellax2):

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?

OpenStudy (bellax2):

@zepdrix can you help me? (:

zepdrix (zepdrix):

1. Correct

zepdrix (zepdrix):

Hmm both answers you're leaning toward in number 2 declare that One half is `larger than` one. See a problem here?

OpenStudy (bellax2):

Yes

zepdrix (zepdrix):

1/2 < 1, ya? :) So clearly it's either A or C.

zepdrix (zepdrix):

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.

zepdrix (zepdrix):

Can you use that information to figure out number 3?

OpenStudy (bellax2):

Oh I see

OpenStudy (bellax2):

I think so

OpenStudy (bellax2):

I know that it's 2>1

OpenStudy (bellax2):

Using your Example, It's growth right? @zepdrix

zepdrix (zepdrix):

good good good, larger than 1, so it gets bigger when we take powers of it.

OpenStudy (bellax2):

Okay, Im going to try the number 4

OpenStudy (bellax2):

Okay so for number 4 Im thinking A since Less than 1 @zepdrix

zepdrix (zepdrix):

yay good job

OpenStudy (bellax2):

Thankyou so much for helping me understand that !

zepdrix (zepdrix):

ok with with the last one? It's mostly just plug and chug :)

OpenStudy (bellax2):

Okay

OpenStudy (bellax2):

Im thinking A @zepdrix

zepdrix (zepdrix):

P=50, n=5, \(\large\rm B=50(1.08)^5\)

zepdrix (zepdrix):

So whatever that gives us, use a calculator.

OpenStudy (bellax2):

Okay Thankyou!!

OpenStudy (bellax2):

I aced my test (: Thanks @zepdrix

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