Answer:
The cost to rent a trailer for 2.8 hours is $21.4.
The cost to rent a trailer for 3 hours is $23.
The cost to rent a trailer for 8.5 hours is $67.
Step-by-step explanation:
Let x be the number of hours.
It is given that the charge to rent a trailer is $15 for up to 2 hours plus $8 per additional hour or portion of an hour.
The cost to rent a trailer for x hours is defined as
![C(x)=\begin{cases}15 & \text{ if } x\leq 2 \\ 15+8(x-2) & \text{ if } x>2 \end{cases}](https://tex.z-dn.net/?f=C%28x%29%3D%5Cbegin%7Bcases%7D15%20%26%20%5Ctext%7B%20if%20%7D%20x%5Cleq%202%20%5C%5C%2015%2B8%28x-2%29%20%26%20%5Ctext%7B%20if%20%7D%20x%3E2%20%5Cend%7Bcases%7D)
For x>2, the cost function is
![C(x)=15+8(x-2)](https://tex.z-dn.net/?f=C%28x%29%3D15%2B8%28x-2%29)
We need to find the cost to rent a trailer for 2.8 hours, 3 hours, and 8.5 hours.
Substitute x=2.8 in the above function.
![C(2.8)=15+8(2.8-2)=15+8(0.8)=21.4](https://tex.z-dn.net/?f=C%282.8%29%3D15%2B8%282.8-2%29%3D15%2B8%280.8%29%3D21.4)
The cost to rent a trailer for 2.8 hours is $21.4.
Substitute x=3 in the above function.
![C(3)=15+8(3-2)=15+8(1)=23](https://tex.z-dn.net/?f=C%283%29%3D15%2B8%283-2%29%3D15%2B8%281%29%3D23)
The cost to rent a trailer for 3 hours is $23.
Substitute x=8.5 in the above function.
![C(8.5)=15+8(8.5-2)=15+8(6.5)=67](https://tex.z-dn.net/?f=C%288.5%29%3D15%2B8%288.5-2%29%3D15%2B8%286.5%29%3D67)
The cost to rent a trailer for 8.5 hours is $67.
Written all the ordered pairs in the form of (hours, cost).
(2.8,21.4), (3,23) and (8.5,67)
Plot these points on coordinate plane.