Question

The charge to rent a trailer is ​$25 for up to 2 hours plus ​$9 per additional hour or portion of an hour. Find the cost to rent a trailer for 3.2 ​hours, 4 ​hours, and 7.8 hours. Then graph all ordered​ pairs, (hours,​ cost), for the function. What is the cost to rent a trailer for 3.2 - 4 - 7.8 and 8 hours?

Answer 1

To find the cost to rent a trailer for 3.2, 4, 7.8, and 8 hours, calculate the total cost using the given formula. Graph the function with the ordered pairs. The cost for 3.2 hours is $35.80, for 4 hours is $43, for 7.8 hours is $73.20, and for 8 hours is $79.

Step-by-step explanation:

To find the cost to rent a trailer for 3.2 hours, 4 hours, and 7.8 hours, we need to calculate the total cost for each duration.

For the first 2 hours, the cost is $25. For the additional 1.2 hours (3.2 - 2), the cost is $9 per hour, so the cost is $9 * 1.2 = $10.80. Therefore, the total cost for 3.2 hours is $25 + $10.80 = $35.80.

Similarly, for 4 hours, the cost is $25 + $9 * 2 = $43. For 7.8 hours, the cost is $25 + $9 * 5.8 = $73.20.

The graph of the function can be represented by the ordered pairs: (2, 25), (3.2, 35.80), (4, 43), (7.8, 73.20).

The cost to rent a trailer for 8 hours would be $25 + $9 * 6 = $79.