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22 February, 08:22

13. Maria earns $8 per hour plus a 5% commission on the price

of each item she sells. She wants to work 15 hours each week, and

earn at least $200. Which inequality and solution shows the total

weekly sales she must make to reach her goal?

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Answers (1)
  1. 22 February, 10:42
    0
    Inequality:

    120 + 0.05x ≥ 200

    Solution:

    x ≥ $1,600

    Her total weekly sales must be equal to or greater than $1,600

    Step-by-step explanation:

    Let x represent the weekly sales she must make to reach her goal.

    Given;

    Pay rate = $8

    Weekly total work hours = 15 hours

    Commission on sales = 5% = 0.05

    Total weekly earnings is;

    8*15 + 0.05*x

    120 + 0.05x

    Minimum Weekly target earnings = $200

    So;

    120 + 0.05x ≥ 200

    Solving the inequality equation;

    0.05x ≥ 200 - 120

    0.05x ≥ 80

    x ≥ 80/0.05

    x ≥ 1600

    x ≥ $1,600

    Her total weekly sales must be equal to or greater than $1,600
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