You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses.Your dog- walking job pays $7.50 per hou

Question

You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses.Your dog- walking job pays $7.50 per hour and your job as a car wash attendant pays $6 per hour. Write a system of linear inequalities to model the situation.

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Mackenzie 11 hours 2021-11-22T08:47:55+00:00 1 Answer 0 views 0

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    2021-11-22T08:49:26+00:00

    The system of linear inequalities to model the situation are:

    x+y\leq 20\\\\7.50x+6y\geq 92

    Solution:

    Let “x” be the time spent in dog walking job

    Let “y” be the time spent in car wash attendant

    Given that,

    You can work at most 20 hours next week

    “at most” means “less than or equal to” 20

    Therefore,

    x+y\leq 20 ---------- eqn 1

    Also given that,

    Your dog- walking job pays $7.50 per hour

    Your job as a car wash attendant pays $6 per hour

    You need to earn at least $92 to cover you weekly expenses

    “at least” means “greater than or equal to” 92

    Thus, a inequality is framed as:

    7.50 \times x + 6 \times y \geq  92

    7.50x+6y\geq 92 ------------ eqn 2

    Thus eqn 1 and eqn 2 is the system of linear inequalities to model the situation

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