Question

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

Answer 1

Answer:

A) Function

$c(t)=\begin{cases} 5\text{ if }0$

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

Solution

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:

         $5\text{ }if\text{ }0$

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:

         $10\text{ }if\text{ }1$

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:

         $20\text{ }if\text{ }2$

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:

        $25\text{ }if\text{ }5$

Now joint the four pieces:

$c(t)=\begin{cases} 5\text{ if }0$

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 left end of the segment must show an open circle, and
• the right end of the segment must show a solid circle.

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

• the left end of the segment is an open circle
• the right end of the segment is a solid circle

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

• the left end of the segment shows an open circle
• the right end of the segment shows a solid circle

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

• the left end of the line shows an open circle
• the right ent of the line shows a solid circle

See the graph attached

Answer 2

Answer:

The other guy is correct so I'll just make it simpler. The correct answer is D

Step-by-step explanation:

I got it right on the quiz