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- anonymous

ophia invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years:
f(x) = 500(1.05)x
What was the average rate of change of the value of Sophia's investment from the second year to the fourth year?
14.13 dollars per year
28.25 dollars per year
50.00 dollars per year
56.50 dollars per year

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- anonymous

- katieb

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- misty1212

HI!!

- anonymous

hi :)

- misty1212

average is
\[\frac{f(4)-f(2)}{4-2}\]

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- anonymous

i would use a calculator

- misty1212

i would use wolfram, it is right on the computer

- anonymous

i need an explaination on how to do this :(

- anonymous

ill just yolo it, thanks though

- jim_thompson5910

f(x) = 500(1.05)^x
f(2) = 500(1.05)^2 ... replace every x with 2
now use a calculator to evaluate `500(1.05)^2`
if you don't have one, you can use a free online one like this
http://web2.0calc.com/
type in `500(1.05)^2` then hit enter or the equal sign. Tell me what you get so I can check to see if it's correct or not.

- anonymous

thank you :)

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