Diane wants to rent a boat and spend less than \( \$ 36 \). The boat costs \( \$ 8 \) per hour, and Diane has a discount coupon for \( \$ 4 \) off. What are the possible numbers of hours Diane could rent the boat? Use \( t \) for the number of hours. Write your answer as an inequality solved for \( t \).

To find out how many hours Diane can rent the boat, we first need to factor in the cost of renting the boat and the discount she has. The cost to rent the boat is \( 8t \) dollars for \( t \) hours. With the \( 4 \) dollar discount, the equation becomes: \[ 8t - 4 < 36 \] Now, let's solve the inequality step by step: 1. Add \( 4 \) to both sides: \[ 8t < 40 \] 2. Divide both sides by \( 8 \): \[ t < 5 \] This tells us that Diane can rent the boat for less than \( 5 \) hours. Therefore, the possible number of hours \( t \) that Diane could rent the boat would be represented as: \[ t < 5 \]