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 f of x equals 1.25 multiplied by 15 to the power of x graph of exponential function going up from left to right in quadrant 1 through the point 0, 15 and continuing towards infinity graph of f of x equals 18.75 to the power of x graph of f of x equals 15 to the power of x

 Graph of exponential function going up from left to right in quadrant 1 through the point 0, 15 and continuing towards infinity

Step-by-step explanation:

Here the given function,

Which is the exponential function because it is the type of ,

Here, b > 1,

⇒ The graph is going up from left to right and continuing toward infinity,

Also, For x = 0,

f(x) = 15

Therefore, the y-intercept of the graph = (0,15),

That is, the function is entering in first quadrant through the point (0,15).

Thus, second Option is correct.

Note: Since, the growth factor of the given function is 1.25,

In first option function is,

The growth factor 15 which is different from 1.25.

This is why, it is incorrect.

In third option,

The growth factor is 18.75 which is different from 1.25.

This is why, it is incorrect.

In fourth option function is,

The growth factor is 15 which is different from 1.25,

This is why, it is incorrect.

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step-by-step explanation:

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336