Q:

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

Accepted Solution

A:
Answer:  [tex]50x+250=75x+100[/tex]Step-by-step explanation:Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. Let x be the number of hours , then the total cost to create the logo plus is given by :-[tex]C(x)=250+50x[/tex]A private contractor charges $75 per hour to develop a logo plus a $100 supply fee. The total cost to develop logo plus is given by :-[tex]c(x)=100+75x[/tex]The equation to represent the costs would be the same is given by :_[tex]C(x)=c(x)\\\Rightarrow50x+250=75x+100[/tex]