Question

Wild Water Adventure Waterslides park charges a rental fee plus $2 per hour to rent inflatable rafts. The total cost to rent a raft for 4 hours is $12.50. Assume the relationship is linear. Find the rate of change and the initial value. Then move on to part 'b' to interpret each of them.​

Answer 1

m = 2, initial value = 4.5 or $4.50

Explanation:

We know that renting a raft costs 2 dollars/hr plus some rental fee that we need to find.

We also know that renting a raft for 4 hours will cost $12.50. So we can do this:

$12.50 - (2.00
`(dollars)/(hrs)` × 4 hrs) = $4.50, which is the "b" in the standard equation for y = mx + b

So, our equation is y = 2x + 4.5

The rate of change is the slope, which is the coefficient of the x.

m = 2

Our initial value is when x = 0.

y = 2(0) + 4.5

y = 4.5