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SAT® Math

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Moderate

Car Repair

SATMAT-ETI1D7

A car repair shop charges a set hourly rate for the total number of hours that it takes to complete a repair. This part of a customer's bill is known as the "labor charge", and no tax is paid for the labor charge.

A tax of ${7.5}{\%}$ of the cost of the parts which were purchased in the repair is included in a customer's bill.

If the equation $ C = 55x + y + .075y $ describes the total charge, $ C $, for a customer, then which of the following is a correct statement about the number of hours that were needed to perform the repair for this customer? (Calculator)

A

The number of hours is $ x + y $.

B

The number of hours is $ x $.

C

The number of hours is $ y $.

D

The number of hours is $ 55x $.