Question

Gabriella needs a mason and must decide between 2 companies. For a service visit, Company A charges $65 to send a mason plus $30/h. Company B charges $30
to send a mason plus $47.50/h. The graph that models this situation is shown here.

According to the graph, how many hours must the two masons work in order to charge the same amount of money?

_____ hour(s)

Answer 1

By looking at were the two lines meet on the graph, they would both have to work for 2 hours to charge the same.

Answer 2

So first we write out their respective charges
A=65+30x (x=hours of A)
B=30+47.5y (x= hours of B)

we want to know when A and B are equal so just set them to be equal

65+30x=30+47.5x
subtract 30 from both sides
35+30x=47.5x
multiplyboth sides by 2 to get rid of the nasty decimal
70+60x=95x
subtract 60x from both sides
70=35x
divide both sides by 35
2=x
they must work 2 hours for them to be equal