Find the solution by graphing the system of equations.
-Sybil is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $180 for materials and equipment rental plus $60 per hour for labor. Company B gave and
Estimate of $220 for materials and equipment rental plus $50 per hour for labor. We can represent this situation with
The system of linear equations
C = 180 + 60h
C = 220 + 50h
Where c is the total cost and h is the number of hours of labor. Find the number of hours of labor for the two companies
To have the same total cost.
A) 3 hr
B) 7 hr
C) 4 hr
D) 8 hr

Question

Quizplus · Accepted Answer

To find the number of hours of labor where the total cost is the same for both companies, we need to set the two equations equal to each other and solve for h:

180 + 60h = 220 + 50h

Simplifying this equation, we get:

10h = 40

h = 4

So the two companies will have the same total cost if Sybil hires them both for 4 hours of labor. Therefore, the best choice is C) 4 hr. To find the number of hours of labor for the two companies to have the same total cost, we need to set the two equations equal to each other and solve for h:

180 + 60h = 220 + 50h
10h = 40
h = 4

So the two companies will have the same total cost after 4 hours of labor. Therefore, the best choice is C) 4 hr.

Find the Solution by Graphing the System of Equations