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.