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
50 x plus 100 is equal to 75 x plus 250
B
50 plus 100 x is equal to 75 plus 250 x
C
50 plus 250 x is equal to 75 plus 100 x
D
50 x plus 250 is equal to 75 x plus 100
Explanation
The graphics company’s total cost is $50 per hour times x hours, plus the $250 ownership fee: 50x + 250. The contractor’s total cost is $75 per hour times x hours, plus the $100 supply fee: 75x + 100. Set these costs equal to find when they are the same, so the correct equation is 50x + 250 = 75x + 100, choice D.
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