Question

Shelby is creating a budget for the week. At her job, she earns $15.50 per hour. Her rent costs $300. Shelby wants to have at least $280 left over after paying rent. Which inequality shows how many hours, h, Shelby should work?

A) h(300−15.50) ≥ 280
B) 300h + 15.50 ≥ 280
C) 15.50h − 300 ≥ 280
D) 300−15.50h ≥ 280

Answer 1

To determine how many hours Shelby should work, we can set up an inequality based on her income and expenses. Shelby should work at least 38 hours.

Step-by-step explanation:

To determine how many hours Shelby should work, we can set up an inequality based on her income and expenses. Let's assume she works h hours per week. Her income from work would be 15.50h. After paying rent, she wants to have at least $280 left over. So the inequality is:

15.50h - 300 ≥ 280

This can be simplified to:

15.50h ≥ 580

Therefore, Shelby should work at least 38 hours to have at least $280 left over after paying rent.