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March 29, 2017

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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

  • math - ,

    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.

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