To find the possible numbers of hours Alan could rent the boat, we need to set up an inequality using the given information.
Let t be the number of hours Alan rents the boat.
The total cost for renting the boat for t hours is given by:
Total cost = (Cost per hour * Number of hours) - Discount
Total cost = ($7 * t) - $4
Alan wants to spend at most $38, so we set up the inequality:
Total cost ≤ $38
($7 * t) - $4 ≤ $38
Solving for t:
($7 * t) - $4 ≤ $38
$7t ≤ $42
t ≤ 6
Therefore, the possible numbers of hours Alan could rent the boat are any whole number less than or equal to 6.
Answer: t ≤ 6
Alan wants to rent a boat and spend at most $38. The boat costs $7 per hour, and Alan has a discount coupon for $4 off. What are the possible numbers of hours Alan could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
1 answer