Problema Solution
Greener Lawns charges an initial fee of $200,plus $50 per hour for labor costs.Lawns for Less charges an initial fee of $300,plus $25 per hour for labor costs.If h represents the number of labor hours and c represents the cost, write the total cost equation for Greener Lawns.If h represents the number of labor hour and c represents the cost,write the total cost equation for Lawns for Less.Solve the system of equations for the total cost of lawn care using the desired technique.Substitution,elimination or graphing
Answer provided by our tutors
Given that Greener Lawns charges an initial fee of $200 and charges $50 per hour for labor costs.
Equation will be
C = 200 + 50h------------(i)
Given that Lawns for Less charges an initial fee of $300 and charges $25 per hour for labor costs
Equation will be
C = 300 + 25h----------(ii)
I am using substitution method
substitute value of C from (i) into (ii), we will get
200 + 50h = 300 + 25h
50h - 25h = 300 - 200
25h = 100
h = 100/25 = 4 hours
Now from (i) C = 200 + 50h
C = 200 + 50*4 = 200 + 200 = $400
Solution will be h = 4 hours and C = $400