Problema Solution
As a first-time homeowner, there are going to many decisions that you need to make, such as whom to hire for the upkeep of your lawn. You have just received advertisements from 2 companies in your area: Greener Lawns and Lawns for Less. 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 hours 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.
Document how you came to these conclusions for accuracy.
Answer provided by our tutors
1) Total cost for Greener Lawns is c=200+50h
2) Total cost for Lawns for Less is c=300+25h
3) Breakeven happens when 200+50h=300+25h
i.e., 25h=100
h=4.
When h>4, Lawns for Less will be lower, e.g., if h=5, Greener will charge 200+200=400 while Lawns for Less will charge 300+25=325
When h<4 Greener Lawns will be less, e.g., if h=3, Greener will charge 200+150=350 while Lawns for Less will charge 300+75=375