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28 February, 06:36

Each month, a shopkeeper spends 8 x plus 15 dollars on rent and electricity. If she spends 3 x minus 7 dollars on rent, how much does she spend on electricity? Use pencil and paper. For which value (s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you found the value (s).

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  1. 28 February, 08:37
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    x < 15.6

    Step-by-step explanation:

    She spends on rent and electricity

    P (x) = 8x + 15

    She spends on rent

    Q (x) = 3x - 7

    She spends on electricity

    R (x) = P (x) - Q (x) = (8x + 15) - (3x - 7) = 5x + 22

    R (x) = 5x + 22

    If R (x) < $ 100 we get

    5x + 22 < 100

    ⇒ 5x < 78

    ⇒ x < 15.6
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