Rufus collected 18 pounds of aluminum cans to recycle. He plans to collect an additional 2 pounds each week. He wants to collect a total of

Question

Rufus collected 18 pounds of aluminum cans to recycle. He plans to collect an additional 2 pounds each week. He wants to collect a total of 42 pounds of aluminum cans. Let x represent the number of weeks Rufus collects aluminum cans.

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Orla Orla 6 months 2021-08-26T09:57:06+00:00 1 Answers 31 views 0

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    2021-08-26T09:58:58+00:00

    Answer:

    12 weeks

    Step-by-step explanation:

    Given

    Base\ Value = 18

    Additional = 2 weekly

    Maximum = 42

    Required

    Determine the number of weeks

    Represent the maximum number of pounds with y and the number of weeks with x.

    Such that

    y = 42

    From the given parameters, the relationship between y and x is as follows:

    y = base\ value + 2 * x

    Substitute 42 for y and 18 for base value

    42 = 18 + 2 * x

    42 = 18 + 2x

    Subtract 18 from both sides.

    42 - 18 = 18 - 18 + 2x

    42 - 18 = 2x

    24 = 2x

    Divide both sides by 2

    \½ * 24 = 2x * \½

    12 = x

    x = 12

    Hence, the number of weeks is 12

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