Question

The number of members f(x) in Joe's health club increased by 25% every year over a period of x years. The function below shows the relationship between f(x) and x: f(x) = 15(1.25)x Which of the following graphs best represents the function?

Answer 1

Sorry for no help, but I know which graphs he is talking about. The correct one would be the one that starts at 15 on the y axis, and then goes 75 at 7 years.

Explanation:

Answer 2

initial value is 15

growth factor is 1.25

Explanation:

we are given

The number of members f(x) in Joe's health club

increased by 25% every year over a period of x years

The function below shows the relationship between f(x) and x as

`f(x)=15(1.25)^x`

now, we can compare it with exponential function

`f(x)=a(b)^x`

where

a is the initial value

b is growth factor

we can compare and find 'a' and 'b'

`a=15,b=1.25`

So,

initial value is 15

growth factor is 1.25

we know that

x is time

so, it can never be negative

f(x) is number of chambers

so, f(x) can not be negative

now, we can draw graph

and we get as