a graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. a…
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
Answer
Explanation:
Step1: Calculate graphics company cost
The cost of the graphics company is the hourly - rate times the number of hours plus the ownership - rights fee. The hourly rate is $50 and the ownership - rights fee is $250. So the cost $C_1$ of the graphics company for $x$ hours is $C_1 = 50x+250$.
Step2: Calculate private contractor cost
The cost of the private contractor is the hourly - rate times the number of hours plus the supply fee. The hourly rate is $75 and the supply fee is $100. So the cost $C_2$ of the private contractor for $x$ hours is $C_2=75x + 100$.
Step3: Set costs equal
We want to find when $C_1 = C_2$. So we set up the equation $50x+250=75x + 100$.
Answer:
$50x + 250=75x + 100$