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21 June, 06:47

The median salary for the Dallas Cowboys was $441,300 in 2000 and $1,326,720 in 2008. Write a linear equation giving the median salary y in terms of the year x. Then use the equation and predict the median salary in 2016.

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  1. 21 June, 08:23
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    The linear equation that is asked from the problem takes the form of:

    y = m x + b

    where,

    y = the median salary

    x = the number of years

    m = the slope of equation

    b = y-intercept

    The slope of the equation (m) can be calculated using the formula:

    m = (y2 - y1) / (x2 - x1)

    m = (1326720 - 441300) / (2008 - 2000)

    m = 110,677.5

    The y-intercept is then obtained by using any of the data pair:

    441300 = 110677.5 (2000) + b

    b = - 220913700

    Therefore the complete equation is:

    y = 110677.5 x - 220913700

    The median salary in 2016 is therefore:

    y = 110677.5 (2016) - 220913700

    y = $2,212,140

    Answer:

    $2,212,140
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