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

@SolomonZelman

Answer 2

I think the answer is 1.

Answer 3

First find the change.

12(1.06)^5 - 12(1.06)^3 and divide by 2

I think this is it.

Answer 4

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.

Answer 5

12(1.06)^5 - 12(1.06)^3/ 2 = 0.8832575

So I got the same thing you did.

Answer 6

Thanks :)

Answer 7

Anytime!

Answer 8

I just thought of it as average of numbers,
(HAte thinking about functions)

Answer 9

Lol okay

Answer 10

Cool, so we are clear on this, right?

Answer 11

Yeah

Answer 12

Good!

Answer 13

I got the same thing but wasn't sure if it was right because it asked for you to round to the nearest whole #