Question

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? $50x + 250 = 75x + 100$ $50 + 250x = 75 + 100x$ $50x + 100 = 75x + 250$ $50 + 100x = 75 + 250x$

Explanation:

Step1: Define cost for graphics company

The total cost is hourly rate times hours plus fixed fee: $50x + 250$

Step2: Define cost for private contractor

The total cost is hourly rate times hours plus fixed fee: $75x + 100$

Step3: Set costs equal for same total

Set the two cost expressions equal to each other: $50x + 250 = 75x + 100$

Answer:

$50x + 250 = 75x + 100$