You are buying plants and soil for your garden. The soil cost $4 per bag and the plants cost $10 each. You want to buy at least 5 plants and

Question

You are buying plants and soil for your garden. The soil cost $4 per bag and the plants cost $10 each. You want 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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Thiên Di 3 years 2021-08-21T20:33:06+00:00 1 Answers 13 views 0

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  1. Acacia
    0
    2021-08-21T20:34:50+00:00
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    Answer:

    The system of linear inequalities to model the situation is written as:

    x + y ≥ 5….. Equation 1

    4x + 10y ≤ 100….. Equation 2

    Step-by-step explanation:

    Let

    The number is soil = x

    The number of plants = y

    You are buying plants and soil for your garden.

    You want to buy at least 5 plants

    At least = greater than or equal to with the inequality sign(≥)

    Hence:

    x + y ≥ 5….. Equation 1

    The soil cost $4 per bag and the plants cost $10 each and can spend no more than $100.

    No more than means Less than or equal to with the inequality sign( ≤ )

    Hence:

    $4 × x +$10 × y ≤ $100

    = 4x + 10y ≤ 100….. Equation 2

    Therefore, the system of linear inequalities to model the situation is written as:

    x + y ≥ 5….. Equation 1

    4x + 10y ≤ 100….. Equation 2

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