26
QuizMultiple Choice

Modeling with Systems of Linear Equations — Unit test

Question 26 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.Which equation can be solved to determine x, the number of hours after which the costs would be the same?

Answer
A
50x + 250 = 75x + 100
B
50 + 250x = 75 + 100x
C
50x + 100 = 75x + 250
D
50 + 100x = 75 + 250x

Explanation

The graphics company’s cost is $50 per hour plus a one-time $250 ownership fee, so its total is 50x + 250. The contractor’s cost is $75 per hour plus a one-time $100 supply fee, so its total is 75x + 100. Setting these totals equal gives 50x + 250 = 75x + 100, which is choice A.

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