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shelby is creating a budgetbfor week. at her job, she earns$ 15.50 per hour. her rent cost 300$. shebly wants to have at least$ 280 left over after paying rent which inequality shows how many hours h shelby should work?

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Final answer:

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

Step-by-step explanation:

To determine how many hours Shelby should work, we need to calculate the minimum number of hours required to have at least $280 left over after paying rent. Let's assume Shelby works h hours. The money earned from working h hours would be 15.50 × h, and after paying rent, she would have 15.50 × h - 300. In order to have at least $280 left over, she should work enough hours so that 15.50 × h - 300 ≥ 280. We can solve this inequality as follows:

15.50 × h - 300 ≥ 280

15.50 × h ≥ 280 + 300

15.50 × h ≥ 580

h ≥ 580 ÷ 15.50

h ≥ 37.42

Since the number of hours must be a whole number, Shelby should work at least 38 hours to have at least $280 left over after paying rent.

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