SOLUTION: The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001. a.) Use the data points to find a linear function that fits the

Question 156551: The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001.
a.) Use the data points to find a linear function that fits the data.
b.) Use the function to predict the average salary in 2005 and 2010.
Year Average Salary
1991------------266,000
2001------------1,410,000
A linear function that fits the data is S(x)=
(Let x= number of years since 1990, and let S= the average salary x years from 1990.)
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!

that's the formula to use to determine the average increase in salary per year.
substituting values, the formula becomes

resulting in

resulting in
dollars increase in each year.
formula for estimating future salaries would then become.

where n is the number of years from 2001.
testing the formula using original data, the formula would become

which becomes

where 266000 was the salary in 1991 and 1410000 is the salary 10 years later (2001).
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