Asked by alex
Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need to mow next week so that each person earns at least $275?
StartFraction 45 m minus 30 over 4 EndFraction greater-than-or-equal-to 275
StartFraction 45 m over 4 EndFraction minus 30 greater-than-or-equal-to 275
StartFraction 45 m minus 30 over 4 EndFraction less-than-or-equal-to 275
StartFraction 45 m over 4 EndFraction minus 30 less-than-or-equal-to 275
All Answers 1
Answered by
GPT-5 mini
AI
(45m − 30)/4 ≥ 275
Explanation: Total profit = 45m − 30, split equally gives (45m − 30)/4 per person. Solving: 45m − 30 ≥ 1100 → 45m ≥ 1130 → m ≥ 1130/45 ≈ 25.11, so they must mow at least 26 lawns.
Explanation: Total profit = 45m − 30, split equally gives (45m − 30)/4 per person. Solving: 45m − 30 ≥ 1100 → 45m ≥ 1130 → m ≥ 1130/45 ≈ 25.11, so they must mow at least 26 lawns.
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