A skate shop rents roller skates as shown in the table below which graph and function model this situation, where c is the cost, in dollars, of renting skates, and t is the number of hours in a single day that the skates are rented

A) Function

B) Graph: see the graph attached

Explnation:

The question is incomplete. The missing table is:

Roller Skate Rentals

        Time                         Cost

Up to 60 minutes               $5

Up to 2 hours                    $10

Up to 5 hours                    $20

Daily                                   $25

1) Function

The situation is represented by a piecewise function;

Up to 60 minutes is up to 1 hour.

Of course for 0 minutes, the cost is zero.

If the times is greater than zero and less than or equal to 1 hour the cost is $5. That is modeled by:

Up to 2 hours

If the time is greater than 1 hour and less than or equal to 2 hours, the cost is $10. That is modeled by:

Up to 5 hours

If the time is greater than 2 hours and less than or equal to 5 hour, the cost is $20. That is modeled by:

Up to 1 day

If the time is greater than 5 hours and less than or equal to 24 hour, the cost is $25. That is modeled by:

Now joint the four pieces:

2) Graph

The graph of this piecewise function has 4 different horizontal line segments.

The first segment in the interval 0 < t  ≤ 1 is at c(t) = 5, which means that:

The second segment , in the interval 1 < t  ≤ 2, at c(t) = 10:

The third segment in the interval 2 < t ≤ 5, at c(t) = 20.

The fourth segment in the interval 5 < t ≤ 24, at c(t) = 25.

See the graph attached

3/6   and 9/18

step-by-step explanation: