Question

1. ben had a part - time job at the fun station. suppose he worked 13.5 hours one week and made $81. how much did ben earn per hour?

step 1: write an equation you can use to solve the problem. be sure to define the variable. (2 points)
step 2: solve the equation you wrote in step 1. (2 points with work shown)
step 3: explain the meaning of the solution found in step 2. (2 points)

step 2: write an equation to model the situation. (3 points)

step 3: solve the equation and write your answer in sentence form. show your work. (3 points)

Explanation:

Step1: Define the variable

Let \( x \) be the amount Ben earns per hour.

Step2: Write the equation

We know that the total amount he made (\( \$81 \)) is equal to the number of hours he worked (\( 13.5 \) hours) times his hourly rate (\( x \)). So the equation is \( 13.5x=81 \).

Step3: Solve the equation

Divide both sides of the equation \( 13.5x = 81 \) by \( 13.5 \):

$$ x=\frac{81}{13.5}=6 $$

Answer:

Ben earns \( \$6 \) per hour.