Question

justin wants to rent a boat and spend less than $34. the boat costs $6 per hour, and justin has a discount coupon for $8 off. what are the possible numbers of hours justin could rent the boat? use t for the number of hours. write your answer as an inequality solved for t.

Explanation:

Step1: Define the cost equation

The cost of renting the boat for \( t \) hours is \( 6t \) dollars, and then we subtract the $8 discount. So the total cost is \( 6t - 8 \).

Step2: Set up the inequality

Justin wants to spend less than $34, so we set up the inequality \( 6t - 8 < 34 \).

Step3: Solve for \( t \)

First, add 8 to both sides of the inequality: \( 6t - 8 + 8 < 34 + 8 \), which simplifies to \( 6t < 42 \). Then, divide both sides by 6: \( \frac{6t}{6} < \frac{42}{6} \), so \( t < 7 \).

Answer:

\( t < 7 \)