Question

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

f(x) = 11(1.35)x

The average rate of change in the number of students who enrolled for cooking classes from the first to the fifth year is ________students per year.

Round your answer to the nearest whole number.

Answer 1

@jinxhead20

Answer 2

@dtan5457

Answer 3

@sleepyhead314 @sleepyjess

Answer 4

Is it \(\sf 11(1.35)^x\)?

Answer 5

yes

Answer 6

Ok, just substitute 1 for x, then 5 for x and let me know what you get :)

Answer 7

I don't understand it though :(

Answer 8

Ok, what is 1.35^1?

Answer 9

1.35?

Answer 10

Yep, now 1.35*11?

Answer 11

27.1438...

Answer 12

27.14???

Answer 13

I got 14.85....

Answer 14

I read it wrong sorry. yes I got that answer too

Answer 15

Ok, so the coordinate for x = 1 is (1, 14.85)

Answer 16

Now, what is 1.35^5?

Answer 17

Lets just round out to 2 decimal places for everything

Answer 18

okay and I got 4.48 which would be 5 with we round. correct?

Answer 19

Just leave it at 4.48, now 4.48*11?

Answer 20

okay 49.28

Answer 21

Yep, so that coordinate is (5, 49.28). Do you know the slope formula?

Answer 22

no

Answer 23

Ok, the slope formula is \(\sf\dfrac{y_2-y_1}{x_2-x_1}\). Now substitute in the numbers, \(\sf\dfrac{5-1}{49.28-14.85}\)

Answer 24

4/34.43?

Answer 25

Yep, that is the answer :)

Answer 26

maybe it only wants 49.28-14.85?

Answer 27

okay thanks for walking me through it and I don't know if that's what it wants :/

Answer 28

No problem! :)