Question

The function below shows the number of students of a school who enrolled for yoga classes. Let f(x) represent the total number of students who enrolled for the classes after x years.
f(x) = 15(1.23)x

The average rate of change in the number of students who enrolled for yoga 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

\(\normalsize\color{blue}{ f(x) = 15(1.23)^x }\) like this right?

Answer 3

Yup

Answer 4

3rd year. \(\normalsize\color{blue}{ f(x) = 15(1.23)^3≈27.91 }\)
5th year. \(\normalsize\color{blue}{ f(x) = 15(1.23)^5≈42.23 }\)

\(\normalsize\color{blue}{ (42.23-27.91) \div 2. }\)

\(\normalsize\color{blue}{ 14.32 \div 2= }\)

\(\normalsize\color{blue}{ \underline{7.16 } }\) (answer)

Answer 5

thank you!

Answer 6

Anytime, enjoy !