A gym offers three levels of membership based on the number of visits per month, as represented by the table. Kaleigh wants to k

Response:

graph one

Detailed explanation:

Let

x ----> the monthly visit count

y ----> the overall cost

From the table, we know that

Observing the table

1) For the x interval of ----> [0,12]  (closed circles on both ends)

The domain includes all whole numbers from 0 visits up to 12 visits

The corresponding 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] (closed circles on both ends)

All real numbers between $15 and $75 inclusive

2) For the x interval of ---->(12,16] (open circle on the left, closed on the right)

The domain includes whole numbers exceeding 12 visits and up to 16 visits

The corresponding 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 on the left, closed on the right)

All real numbers greater than $80 and up to $96      

3) For the x interval of ---->(16,24] (open circle on the left, closed on the right)

The domain comprises whole numbers beyond 16 visits and up to 24 visits

The corresponding 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 on the left, closed on the right)

All real numbers more than $90 and up to $114    

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