Question

Ryan wants to rent a boat and spend less than $85 The boat costs $8 per hour, and Ryan has a discount coupon for $3 off. What are the possible numbers of hours Ryan could rent the boat?

Use t for the number of hours.
Write your answer as an inequality solved for .

Answer 1

Ryan can rent a boat for less than $85 with an hourly rate of $8 and a discount of $3. To find the number of hours he could rent the boat, we set up the inequality 8t - 3 < $85, which simplifies to t < 11 when solved. This means Ryan can rent the boat for up to 10 complete hours.

Step-by-step explanation:

Ryan wants to rent a boat and has a budget of less than $85. With an $8 per hour rental fee and a discount coupon of $3 off, we need to find the possible number of hours t he could rent the boat for.

First, let's represent the total cost for t hours as 8t. Since Ryan has a $3 discount, we'll subtract that from the total cost, giving us the inequality 8t - 3 < $85. Solving for t, we add $3 to both sides of the inequality getting 8t < $88. Then we divide both sides by $8 to isolate t, which results in t < 11. Therefore, Ryan could rent the boat for up to 10 complete hours without exceeding his $85 budget.