Question

Need help with some work.

Answer 1

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.

Answer 2

@ganeshie8 @phi @mathmate

Answer 3

can you double check if there are any typoes in the function

i think the "x" should be in the exponent

Answer 4

f(x) = 12(1.06)^x

Answer 5

Okay great! i hope you see the difference between \(12(1.06)x\) and \(12(1.06)^x\)

Answer 6

they are not same

Answer 7

tbh, no. This chapter made 0 sense to me at all.

Answer 8

don't wry, you will get it eventually if u persist

Answer 9

"average rate of change" is same as the "slope"

Answer 10

read the problem again,
what exactly are we asked to find ?

Answer 11

Is this how you do the graph to find the difference?
f(x) = 12(1.06)^x

1 12.72
2 13.47

Answer 12

you need to find the points when x = 3 and x = 5

not when x = 1 and x = 2

Answer 13

f(x) = 12(1.06)^x

f(3) = 12(1.06)^3 = ?

Answer 14

but is that how i do it?
1 12.72
2 13.48
3 14.29
4 15.14
5 16.05

Answer 15

okay, look at the highlighted points

1 12.72
2 13.48
`3 14.29`
4 15.14
`5 16.05`

Answer 16

we need only them because we're asked to find the average rate of change between years 3 and 5

Answer 17

find the slope of those two points and you're done!

Answer 18

remember the slope formula ?

Answer 19

so i would do mean to find the difference?
14.29+15.14+16.05=45.48
45.48/3= 15.16 difference?

Answer 20

no

Answer 21

hmm

Answer 22

(3, 14.29) and (5, 16.05)

slope = (16.05 - 14.29) / (5-3)
= ?

Answer 23

Looks good! 0.88 is the average rate of change between years 3 and 5

Answer 24

ok cool! 1 more?

Answer 25

thank you for your help by the way!

Answer 26

yw