164k views
5 votes
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. ​

1 Answer

3 votes

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.

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)

User Rharter
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories