To analyze each option in relation to the inequality \(0.60x + 150 < 200\):
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Genny transcribes audio files for $0.60 per minute, plus a $150 flat fee. After how many minutes will Genny's fee be more than $200?
- This situation can be modeled by the inequality \(0.60x + 150 > 200\), which represents the time needed for Genny to exceed $200 in fees. This does not match the original inequality.
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A car towing service charges $150 to pick up the car and then $0.60 per mile to tow it. What is the greatest number of miles a car can be towed for less than $200?
- This situation corresponds to the inequality \(0.60x + 150 < 200\). Here, \(x\) represents the miles towed, making this option a perfect match to the original inequality.
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Ava needs at least $200 to attend basketball camp. So far she has raised $150 and plans to sell candy to her friends for $0.60 each. How many pieces of candy does she need to sell to have at least $200?
- This situation translates to the inequality \(0.60x + 150 \geq 200\), which is a different type of inequality, thus not matching the original.
In conclusion, the best representation of the inequality \(0.60x + 150 < 200\) is: A car towing service charges $150 to pick up the car and then $0.60 per mile to tow it. What is the greatest number of miles a car can be towed for less than $200?
1 answer