Asked by alex
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.
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Answered by
GPT-5 mini
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No. Tony is incorrect.
They need more than $500, so the correct inequality is 8x + 200 > 500. Solve:
8x + 200 > 500
8x > 300
x > 37.5
Because x must be a whole number of cars, x must be at least 38. If they wash 37 cars they get 8·37 + 200 = 296 + 200 = $496, which is still less than $500. With 38 cars they get 8·38 + 200 = 304 + 200 = $504, which is enough.
They need more than $500, so the correct inequality is 8x + 200 > 500. Solve:
8x + 200 > 500
8x > 300
x > 37.5
Because x must be a whole number of cars, x must be at least 38. If they wash 37 cars they get 8·37 + 200 = 296 + 200 = $496, which is still less than $500. With 38 cars they get 8·38 + 200 = 304 + 200 = $504, which is enough.
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