Question

When the town of Bradyville first started its voluntary recycling program, 1500 of the town’s residence participated. The town predicts that the number of people participating in the recycling program will increase by 15% each year.

Which explicit rule can be used to determine the number of people participating in the program in the fifth year?



an=1500(1.15)^n−1

an=1500(0.15)^n

an=1500(1.15)n

an=1500(0.15)^n−1

Answer 1

Answer: an = 1500(1.15)^n (It looks like you have a typo in the third choice)

This is an example of an exponential equation.
These types of equations are in the form: y = ab^x

A is the starting amount, b is the rate and x is the number of years.

All you have to do is put the pieces in place. Since it is a 15% increase, we are using 1.15 for the rate. And the starting value (a) is 1500.

Answer 2

Here you go. :)