## In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each year. Write

Question

In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each year. Write an exponential function to model the situation, then find the number of students enrolled in 2014. Is this considered growth or decay?

in progress
0

Math
1 month
2021-10-22T09:56:37+00:00
2021-10-22T09:56:37+00:00 1 Answer
0 views
0
## Answers ( )

Answer:Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:The number of students in the school in t years after 2002 can be modeled by the following function:

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.This means that

Since then, the number of students has increased by 1.5% each year.Increase, so r is positive. This means that

Then

Growth function.

Find the number of students enrolled in 2014.2014 is 2014-2002 = 12 years after 2002, so this is N(12).

The number of students enrolled in 2014 is 1162.