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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.

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oliviadanielle2
Well well well this looks fun!

The first thing to notice is the term "rate of change" A.K.A. slope. Slope is all it is asking for in the problem.


Taking the function f(x)= 11(1.35)X you know "11(1.35)" is the slope because it is attached to X.

11*1.35=14.85     Round to 15.

In context, this means the first year there were roughly 15 students, the second year 30 students, to 75 students the fifth year.

Hope that helped! :)

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