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mixer
3 months ago
5

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 t

he relationship between f(x) and x: f(x) = 15(1.25)x Which of the following graphs best represents the function?

Mathematics
2 answers:
Inessa [12.5K]3 months ago
5 0

Solution:

It is established that the number of members f(x) in Joe's health club grows by 25% annually over a span of x years.

The relationship connecting f(x) and x is expressed as:

f(x) = 15(1.25)^x

By substituting f(x) with y in the equation above

y= 15(1.25)^x

To create the graph without utilizing Desmos, determine various y values corresponding to different x values. For instance, when x=1

This yields, y= 15(1.25)^1= 18.75

For, x=2

y=   15(1.25)^2=15 × 1.5625=23.4375

For, x=3

y= 15(1.25)^3= 29.296875

Thus, for varying x values, we derive different y outcomes. Plot these points on the plane and connect them. This will illustrate the graph of the function:⇒ f(x)= 15(1.25)^x

The graph is shown below.


PIT_PIT [12.4K]3 months ago
4 0

Response:

The correct choice is C

Detailed explanation:

Here's why!

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Answer:

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