Question

Ryan wants to rent a boat and spend at most $37. The boat costs $7 per hour, and Ryan has a discount coupon for $5 off. What are the possible numbers of hours Ryan could rent the boat?

Answer 1

6

Explanation:

Cost 1 hr = $7

Let no. of hrs be h

Cost h hr = $7h

Discount = $5

Total cost = $37

∴ Now,

7h - 5 = 37

7h = 42

h = 6

∴ The possible number of hours Ryan could rent the boat is 6 hrs.

Answer 2

Explanation:

Let's first calculate the cost of renting the boat without the discount coupon. If Ryan rents the boat for "h" hours, the cost will be:

cost = 7h

However, Ryan has a discount coupon for $5 off, so the actual cost will be:

actual cost = 7h - 5

We know that Ryan wants to spend at most $37, so we can set up an inequality:

actual cost ≤ 37

Substituting the expression for actual cost, we get:

7h - 5 ≤ 37

Simplifying the inequality:

7h ≤ 42

h ≤ 6

So the possible numbers of hours Ryan could rent the boat are any whole number from 1 to 6 inclusive. If he rents the boat for 1 hour, it will cost him $2 after the discount. If he rents it for 6 hours, it will cost him $37 after the discount.