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

Algebra ->  Linear-equations -> 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      Log On


   

Question 1062940: 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 $271,000
2001 $1,390,000




Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let 1991 correspond to x=0 and 2001 to x=x=10.
Find the slope,
m=%281390000-271000%29%2F%2810-0%29=1119000%2F10=111900
So then using the point slope form,
y-271000=111900%28x-0%29
y=111900x%2B271000
So then 2005 and 2010 would be x=14 and x=19,
y%5B2005%5D=111900%2814%29%2B271000=1837600
y%5B2010%5D=111900%2819%29%2B271000=2397100