Algebra

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The table list data regarding the average salaries of several
professional athlets in the year 1991 and 2001
Year Average Salary
1991 $252,000
2001 $1,350,000

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.
A linear function that fits the data is S(x)=

  • Algebra -

    slope = m = change in salary/change in year = (1350000-252000)/(2001-1991)
    so
    m = 109,800 dollars/year
    so
    salary =109,800 (year -1991) + 252,000
    that is a linear function of year but if you want it in y = mx + b form then
    salary = 109,800*year - 218,359,800

    check 2001 back in
    salary = 109,800*2001 - 218359800
    = $1,350,000 check

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