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Ms. Salgado needs to have her car repaired but does not want to spend more than $375 for the repairs. The mechanic says that the part needed for the repair will cost $100 and the labor will cost an additional $40 per hour. Which inequality below represents the greatest number of hours the mechanic can work without exceeding Ms. Salgado's budget

Respuesta :

173darkknight

Step-by-step explanation:

40x + 100 = 375

40x = 275

x = 6.875

The mechanic can work a maximum of 6.88 hours without exceeding Ms. Salgado's budget.

adioabiola

The inequality which can be used to represents the greatest number of hours the mechanic can work without exceeding Ms. Salgado's budget is 100 + 40x ≤ 375

Given:

Greatest budget = $375

Cost of part needed = $100

Cost of labor per hour = $40

Number of hours of no work = x

The inequality:

100 + 40x ≤ 375

40x ≤ 375 - 100

40x ≤ 275

x ≤ 275 / 40

x ≤ 6.875 hours

Approximately,

x ≤ 6.9 hours

Therefore, the greatest number of hours the mechanic can work without exceeding Ms. Salgado's budget is 6.9 hours

6.9 hours

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