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18 July, 10:45

4. A video rental store rents movies at $3.95 for the first night, plus $1.25 for each additional night. When you return your movie, you pay $7.70. How many extra nights did you keep the movie?

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  1. 18 July, 11:13
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    3 nights

    Step-by-step explanation:

    Set up an equation that represents the problem:

    y = 1.25x + 3.95

    Where y is the total cost and x is the number of additional nights you rent the movie

    Substitute:

    7.70 = 1.25x + 3.95

    Subtract 3.95 on both sides:

    7.70 = 1.25x + 3.95

    -3.95 - 3.95

    3.75 = 1.25x

    Divide by 1.25 on both sides:

    3.75 = 1.25x

    /1.25 / 1.25

    3 = x

    Therefore, you kept the movie for 3 additional nights.
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