Question

A sales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. The representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. She uses the given expression to model the number of club members, in hundreds, after advertising for t months. 1.8(1.02)^12t What does the value 1.8 represent?

Answer 1

The value 1.8 represent the club's total number of members today or the present number of members

Explanation:

Given an exponential function;

`y=ab^(x)`

b is the base or the growth factor

a is the initial value, that is the value of y when x = 0

We have been given the exponential function;

`y=1.8(1.02)^(12t)`

The value 1.8 simply represents the initial value of y. Plug in t = 0 in the equation;

`y=1.8(1.02)^(12(0))=1.8`

Therefore, the value 1.8 represent the club's total number of members today or the present number of members