Question

A gym offers three levels of membership based on the number of visits per month, as represented by the table. Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?

Answer 1

Answer:

graph one

Step-by-step explanation:

Let

x ----> the number of visit per month

y ----> the total cost

we know that

Observing the table

1) For the interval of x equal to ----> [0,12]  (close circle both points)

The domain is all whole numbers greater than or equal to 0 visits and less than or equal to 12 visits

The value of y is

y=5x+15

For x=0 ----> y=$15

For x=12 ----> y=5(12)+15=$75

The range is the interval ----> [15,75] (close circle both points)

All real numbers greater than or equal to $15 and less than or equal to $75

2) For the interval of x equal to ---->(12,16] (open circle at left and close circle at right)

The domain is all whole numbers greater than 12 visits and less than or equal to 16 visits

The value of y is

y=4x+32

For x=12 ----> y=4(12)+32=$80

For x=16 ----> y=4(16)+32=$96

The range is the interval ----> (80,96] (open circle at left and close circle at right)

All real numbers greater than $80 and less than or equal to $96      

3) For the interval of x equal to ---->(16,24] (open circle at left and close circle at right)

The domain is all whole numbers greater than 16 visits and less than or equal to 24 visits

The value of y is

y=3x+42

For x=16 ----> y=3(16)+42=$90

For x=24 ----> y=3(24)+42=$114

The range is the interval ----> (90,114] (open circle at left and close circle at right)

All real numbers greater than $90 and less than or equal to $114    

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