The charge to rent a trailer is $15 for up to 2 hours plus $8 per additional hour or portion of an hour. Find the cost to rent a trailer for 2.8 hours, 3 hours, and 8.5 hours. Then graph al ordered pairs, (hours, cost), for the function a. What is the cost to rent a trailer for 2.8 hours?

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.