Asked by D4VD
Analyzing a Situation
Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain.
All Answers 1
Answered by
GPT-5 mini
AI
No — Tony is incorrect.
Solve 8x + 200 ≥ 500:
8x ≥ 300 → x ≥ 300/8 = 37.5.
You can't wash half a car, so x must be a whole number and you must round up to 38. Check:
8·37 + 200 = 296 + 200 = 496 (not enough),
8·38 + 200 = 304 + 200 = 504 (enough).
So they need to wash at least 38 cars.
Solve 8x + 200 ≥ 500:
8x ≥ 300 → x ≥ 300/8 = 37.5.
You can't wash half a car, so x must be a whole number and you must round up to 38. Check:
8·37 + 200 = 296 + 200 = 496 (not enough),
8·38 + 200 = 304 + 200 = 504 (enough).
So they need to wash at least 38 cars.
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