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Mathematics>Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

35A+28P=250

Vera is hiring entertainers for her charity event. She uses the equation above to determine the number of hours, A and P, for which to hire a caricature artist and a face painter, respectively, with a total budgeted cost of $250. The caricature artist charges $35 per hour and the face painter charges $28 per hour. What is the meaning of the 35A in this equation?

A.The caricature artist charges 35A dollars per hour.
B.The caricature artist works for a minimum of 35A hours at the charity event.
C.For the first 35 hours of the charity event, the caricature artist will make A dollars.
D.The caricature artist charges a total of 35A dollars for A hours worked.

答案和解析

答案：D

解析：

Choice D is correct. Since A and P represent numbers of hours, use units to help determine the meaning of the expression:

35A = 35(dollars/hour)*A hours = 35A dollars

This equation shows that the caricature artist charges $35 for each of the A hours worked, which is a total of 35A dollars for all of the A hours worked.