Question

The function below shows the number of students of a school who enrolled for ballet classes. Let f(x) represent the total number of students who enrolled for the classes after x years:
f(x) = 12(1.06)x

The average rate of change in the number of students who enrolled for ballet classes from the third to the fifth year is ________students per year.
Round your answer to the nearest whole number.

Answer 1

please keep in mind that the average rate r is given by the subsequent formula:
\[r = \frac{{f\left( 5 \right) - f\left( 3 \right)}}{{5 - 3}}\]

Answer 2

where f is your function

Answer 3

HI!!

Answer 4

do you get how to do this?

Answer 5

not really @misty1212

Answer 6

lets use a calculator ok?

Answer 7

http://www.wolframalpha.com/input/?i=%2812%281.06%29%5E5-12%281.06%29%5E3%29%2F2

Answer 8

okay(:

Answer 9

-f(5)+5f(3)+r+3=0? so it would be 0?

Answer 10

no, I'm sorry I think that r is not zero

Answer 11

f(x) = 12(1.06)^x
f(x) = 12(1.06)^3
f(x) = 12(1.191016)
f(x) = 14.292192

f(x) = 12(1.06)^x
f(x) = 12(1.06)^5
f(x) = 12(1.33822558)
f(x) = 16.058707

Average Rate of Change: m = y2 - y1/x2 - x1

Points: (3,14.292192) and (5,16.058707)
m = 16.058707 - 14.292192/5 - 3
m = 1.766515/ 2
m = 0.8832575

So the average rate of change in the number of students who enrolled for ballet classes from the third to the fifth year is approximately 1 student per year.