Question

Joseph works at the deli after school for $8.50 an hour and mows lawns on the weekend for $12 an hour. His

parents will not allow him to work more than 15 hours per week and he wants to make at least $200 a
week. Which of the following systems of inequalities represents this problem?
A. 8.50h + 12w ≥ 200, h + w ≤ 15
B. 8.50h + 12w ≤ 200, h + w ≥ 15
C. 8.50h + 12w ≥ 200, h + w ≥ 15
D. 8.50h + 12w ≤ 200, h + w ≤ 15

Answer 1

The system of inequalities that represents this problem is A. 8.50h + 12w ≥ 200, h + w ≤ 15.

Step-by-step explanation:

The system of inequalities that represents this problem is:

A. 8.50h + 12w ≥ 200

h + w ≤ 15

Let's break down the problem:

Let h represent the number of hours Joseph works at the deli and w represent the number of hours he mows lawns.

Joseph wants to make at least $200 a week, so the total income from both jobs must be greater than or equal to $200. This gives us the inequality: 8.50h + 12w ≥ 200.

Joseph's parents will not allow him to work more than 15 hours per week, so the total number of hours worked must be less than or equal to 15. This gives us the inequality: h + w ≤ 15.

Therefore, option A represents this problem.