Algebra
posted by PJ .
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)=

slope = m = change in salary/change in year = (1350000252000)/(20011991)
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