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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

Sagot :

mhanifa

Answer:

  • Option B

Step-by-step explanation:

Given function:

  • f(x) = 15(1.25)^x

Its y-intercept is:

  • f(0) =  15(1.25)^0 = 15*1 = 15

Answer options:

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

  • No, as (0, 1) is wrong y-intercept

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

  • Yes, the y-intercept is correct

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

  • No, as (0, 0) is wrong y-intercept

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

  • No, as (0, 1) is wrong y-intercept

Answer:

Answer B

Step-by-step explanation:

I took the test :)

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