The inequality 4x + 260 < 400 represents the cost to repair Tom's car. The cost of parts is $260 and it will take 4 hours of work. If x represents the labor cost per hour and Tom needs to keep the total under $400, what is the highest labor cost per hour that he can afford?

Question

Mathematics

Talia Downs

4 April, 01:38

The inequality 4x + 260 < 400 represents the cost to repair Tom's car. The cost of parts is $260 and it will take 4 hours of work. If x represents the labor cost per hour and Tom needs to keep the total under $400, what is the highest labor cost per hour that he can afford?

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Answers (1)

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Melody Mcconnell · Answer 1

Answer: The highest labor cost per hour that he can afford is $34

Step-by-step explanation:

Hi, to answer this question we simply have to solve the inequality:

4x + 260 < 400

4x < 400-260

4x < 140

x < 140/4

x < 35

Since x represents the labor cost per hour, The highest labor cost per hour that he can afford is $34 (using whole numbers, because x must be less than 35, not less or equal)

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