Question

PLS HELP NOW 55 POINTS ALL I HAVE

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?


graph of exponential function going up from left to right through the point 0 comma 1 and approximately 6 tenths comma 6

graph of exponential function going up from left to right through the point 0 comma 15 and approximately 5 comma 45

graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing toward infinity

graph of exponential function going up from left to right through the point 0 comma 1 and approximately 4 comma 3

Answer 1

• Option B

Explanation:

Given function:

• f(x) = 15*1.25ˣ

The answer choices give us two ordered pairs.

The first pair has x = 0 for all answer options, let's check what y- coordinate corresponds to this:

• f(0) = 15*1.25⁰ = 15*1 = 15

This is option B

Let's verify the second point of this option:

• f(5) = 15*1.25⁵ = 45.77

We can confirm this point as well. So correct choice is B