1 1. 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 p

Question

1 1. 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. 2. Marsha is buying plants and soil for her garden. The soil cost $4 per bag, and the plants cost $10 each. She wants to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.

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Answers ( No )

    0
    2021-10-14T21:20:47+00:00

    Answer:

    The inequalities are y>=5; 4x+10y<=100

    Step-by-step explanation:

    🙂

    0
    2021-10-14T21:20:52+00:00

    Let x be the number of hours spent in dog-walking
    Let y be the number of hours spend in car washing.
    The maximum number of hours at work in a week is 20.
    Therefore x + y <=20

    Salary for dog-walking job =$7.50/ hour
    Salary for car washing job=$6/ hour
    Total salary in a week earned through dog-walking job =7.50x
    Total salary in a week earned through car washing job=6y
    Least amount to be earned in a week =$92
    Therefore, 7.50x +6y>=92

    The required inequalities are
    x+y<=20; 7.50x+6y>=92

    2.
    Let x be the number of soil bags
    Let y be the number of plants

    Cost per soil bag = $4
    Cost per plant =$10
    Minimum number of plants she wants to buy =5
    Therefore, y>=5

    Maximum amount she can spent =$100

    Therefore 4x+10y<=100

    The required inequalities are
    y>=5; 4x+10y<=100

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