Question

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 charge an initial fee of $300, plus $25 per hour for labor costs.
1. If h represents the number of labor hours and C represents the cost, write the total cost equation for Greener Lawns.
2. If h represents the number of labor hours and C represents the cost, write the total cost equation for Lawns for Less.
3. Solve the system of equations for the total cost of lawn care using the desired technique: substitution, elimination, or graphing.
4. Document how you came to these conclusions for accuracy.
Mathematics of Finance

Answer 1

1. C = 50h + 200.

2. C = 25h + 300.

3. Eq1: C = 50h + 200.
Eq2: C = 25h + 300.

Substitute 50h + 200 for C in Eq2:
50h + 200 = 25h + 300,
50h - 25h = 300 - 200,
25h = 100,
h = 4.

Substitute 4 for h in Eq1:
C = 50*4 + 200 = 400.

4. The Substitution and Elimination
Methods are more accurate than graphing.