A water park charges a rental fee plus $1.50 per hour to rent inflatable rafts. The total cost to rent a raft for 6 hours is $15. Assume the relationship is linear. Find and interpret the rate of change and the initial value.

Answer:C = 6 + 1.5h.$6 is the fixed fee that the park charges.And $1.5 is the rate of charge per hour for rent of the raft. Step-by-step explanation:The water park charges a rental fee plus $1.5 per hour to rent inflatable rafts. Let the total charge (C) has a linear relationship with the number of hours (h) spent in the park and it is C = a + bh ......... (1) Now, b is the rate of charge to rent inflatable rafts and b = $1.5 per hour. So, C = a + 1.5h ........... (2) Now, given that the total cost to rent a raft for 6 hours is $15. So, from equation (2) we get, 15 = a + 1.5 × 6 ⇒ a = 6 Therefore, the equation (2) becomes C = 6 + 1.5h. Here, $6 is the fixed fee that the park charges. And $1.5 is the rate of charge per hour for rent of the raft. (Answer)