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- anonymous

Need help with some work.

- schrodinger

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- anonymous

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.

- anonymous

- ganeshie8

can you double check if there are any typoes in the function
i think the "x" should be in the exponent

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## More answers

- anonymous

f(x) = 12(1.06)^x

- ganeshie8

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

- ganeshie8

they are not same

- anonymous

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

- ganeshie8

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

- ganeshie8

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

- ganeshie8

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

- anonymous

Is this how you do the graph to find the difference?
f(x) = 12(1.06)^x
1 12.72
2 13.47

- ganeshie8

you need to find the points when x = 3 and x = 5
not when x = 1 and x = 2

- ganeshie8

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

- anonymous

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

- ganeshie8

okay, look at the highlighted points
1 12.72
2 13.48
`3 14.29`
4 15.14
`5 16.05`

- ganeshie8

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

- ganeshie8

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

- ganeshie8

remember the slope formula ?

- anonymous

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

- ganeshie8

no

- anonymous

hmm

- ganeshie8

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

- ganeshie8

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

- anonymous

ok cool! 1 more?

- anonymous

thank you for your help by the way!

- ganeshie8

yw

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