Answer:
Linear function is [tex]y=\frac{221355}{2}x+441300[/tex]
Median salary in 2016 is $2212140
Step-by-step explanation:
Let t = 0 is corresponds to the year 2000.
Thus, basis the given information, we have two points
(0,441300) and (8,1326720)
Slope of the linear function can be found by the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{1326720-441300}{8-0}\\\\m=\frac{221355}{2}[/tex]
Now, using the point slope form, we can find the linear function
[tex]y-y_1=m(x-x_1)\\\\y-441300=\frac{221355}{2}(x-0)\\\\y=\frac{221355}{2}x+441300[/tex]
Median salary in 2016 is
[tex]y=\frac{221355}{2}\times16+441300\\\\y=2212140[/tex]
Building an linear equation, it is found that:
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A linear equation is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(which is the value of y when x = 0).
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In this context, the median player salary for the Dallas Cowboys in x years after 2000 is given by:
[tex]y = mx + s(0)[/tex]
In which s(0) is the median player salary in 2000.
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Median salary of $441,300 in 2000 means that [tex]s(0) = 441300[/tex], and thus:
[tex]y = mx + 441300[/tex]
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We have two points:
[tex]m = \frac{885420}{8} = 110677.5 [/tex]
Thus, the linear equation is:
[tex]y = 110677.5x + 441300[/tex]
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2016 is 2016 - 2000 = 16 years after 2000, thus we have to find y when x = 16.
[tex]y(16) = 110677.5\times16 + 441300 = 2212140 [/tex]
The prediction for the median salary in 2016 is of $2,212,140.
A similar question is given at https://brainly.com/question/21504631
