Candice needs a plumber and must decide between 2 companies. For a service visit, Company A charges $60 to send a plumber plus $45/h. Company B charges $70 to send a plumber plus $35/h. The graph that models this situation is shown here.

According to the graph, what is the cost when the two plumbers have worked the same amount of time and cost is the same?

Question

Candice needs a plumber and must decide between 2 companies. For a service visit, Company A charges $60 to send a plumber plus $45/h. Company B charges $70 to send a plumber plus $35/h. The graph that models this situation is shown here.
 
According to the graph, what is the cost when the two plumbers have worked the same amount of time and cost is the same?

coconutjj · Answer

First determine the fixed cost for each company

anonymous · Answer

a=60 then b=70

coconutjj · Answer

Yes

coconutjj · Answer

Now let the number of hours each plumber worked = t. can you find the total cost of each company given the number of hours?

anonymous · Answer

a=45 the b =35

coconutjj · Answer

wait, do you have the graph..

anonymous · Answer

yeah

coconutjj · Answer

so when do you think they have worked the same # of hours

coconutjj · Answer

it would probably be the place where they intersect

coconutjj · Answer

Can you figure that out from the graph

anonymous · Answer

it says 110 where the point is

coconutjj · Answer

it should be one hour

coconutjj · Answer

company A : 60 + 45t
Company B: 70 + 35t

coconutjj · Answer

wait... im wrong ..
when x = 1 y= 105

coconutjj · Answer

in 1 hour, they will have both earned $105

anonymous · Answer

kay thanks i got it :)