Answer:
<u>A) Function</u>
<u>B) Graph: see the graph attached</u>
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
<h2>Solution</h2><u>1) Function</u>
The situation is represented by a piecewise function;
<u>Up to 60 minutes is up to 1 hour.</u>
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:
<u>Up to 2 hours</u>
If the time is greater than 1 hour and less than or equal to 2 hours, the cost is $10. That is modeled by:
<u>Up to 5 hours</u>
If the time is greater than 2 hours and less than or equal to 5 hour, the cost is $20. That is modeled by:
<u>Up to 1 day</u>
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:
<u>2) Graph</u>
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
