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10 November, 08:57

A phone company has a monthly data plan where a customer pays flat monthly fee of $ 15 and then a certain amount of money per gigabyte (GB) of data used on the phone. If a customer uses 3 GB, the monthly cost will be $ 24. If the customer uses 7 GB, the monthly cost will be $ 36.

Find a linear equation for the monthly cost of the data plan as a function of x, the number of MB used.

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  1. 10 November, 09:35
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    Step-by-step explanation:

    let x represent the number of MB used in a month.

    Let y represent the monthly cost of using x MB.

    If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

    Slope, m = (36 - 24) / (7 - 3)

    m = 12/4 = $3

    We would represent the linear equation in the slope - intercept form which is expressed as

    y = mx + c

    Where

    c = y intercept

    m = slope

    At the y intercept, x = 0. Therefore, the y intercept is the flat monthly fee of $15. It is charged whether MB is used or not. Therefore, the linear equation is

    y = 3x + 15

    Or

    C (x) = 3x + 15
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