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
[tex]C(x)=\begin{cases}15 & \text{ if } x\leq 2 \\ 15+8(x-2) & \text{ if } x>2 \end{cases}[/tex]
For x>2, the cost function is
[tex]C(x)=15+8(x-2)[/tex]
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.
[tex]C(2.8)=15+8(2.8-2)=15+8(0.8)=21.4[/tex]
The cost to rent a trailer for 2.8 hours is $21.4.
Substitute x=3 in the above function.
[tex]C(3)=15+8(3-2)=15+8(1)=23[/tex]
The cost to rent a trailer for 3 hours is $23.
Substitute x=8.5 in the above function.
[tex]C(8.5)=15+8(8.5-2)=15+8(6.5)=67[/tex]
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.
