Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the correct answer below. 0.08 12 27.3 327.68
Im not good at this :(:(
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^this formula looks scary but we can break it down
OKay please
the formula tells you the average rate of change from "x" to "a" where we can replace x and a with the numbers from our problem
ok
here is our original problem: "average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x" in this case, "x" would be 15 and "a" would be 3
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15 - 3 = 12
so you would start by finding the value of the function at x = 3 and x = 15 so if f(x) = 0.01(2)^x, then what is f(x) when x = 3?
I just got brain washed and now im confused. (Not Literally) but yes im confised
x = 3 means we can replace "x" with "3" whenever x shows up f(x) = 0.01(2)^x replace "x" with 3 to get f(3) = 0.01(2)^3 = ?
Oh okay hold on. Im sorry i just dont get it most of the time
0.8???
@Vocaloid
0.08, be careful with decimal places
now do the same thing for x = 15
f(15) = 0.01(2)^15 = ?
I have to do that 15 times :o
you can use a calculator
wolframalpha.com type in 0.01(2)^15
327.68
awesome! now we just plug that into our formula
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Okay..
(327.68-0.08)/12 = 27.3 (C)
27.3????
yup
Thanks!
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