Question

at henrys auto shop, it takes him 15 minutes to do an oil change and 18 minutes to do a tire change. let x be the number of oil changes he does. let y be the number of tire changes he does. using the values and variables given, write an inequality describing how many oil changes and tire changes henry can do in at most 2 hours (120 minutes).

Explanation:

Step1: Calculate time for oil changes

Time for \( x \) oil changes: \( 15x \) minutes (since each oil change takes 15 minutes).

Step2: Calculate time for tire changes

Time for \( y \) tire changes: \( 18y \) minutes (since each tire change takes 18 minutes).

Step3: Total time and inequality

Total time is \( 15x + 18y \), and it must be at most 120 minutes (≤ 120). So the inequality is \( 15x + 18y \leq 120 \).

Answer:

\( 15x + 18y \leq 120 \)