Question
The table lists data regarding the average salaries of several Year Average Salary professional athletes in the years 1991 and 2001. 1991 $264,000 Use the data points to find a linear function that fits the data 2001 $1,410,000 Use the function to predict the average salary in 2005 and 2010 A linear function that fits the data is S(x) = (Let x = the number of years since 1990, and let S = the average salary x years from 1990 ) The predicted average salary for 2005 is $ (Round to the nearest whole number ) The predicted average salary for 2010 is $ (Round to the nearest whole number.)
Explanation / Answer
1. if x = number of years since 1990 then our data points our (1, 264,000) (11, 1,410,000) m = (1,410,000 - 264,000) / (11 -1) = 114,600 y - 264,000 = 114,600*(x -1) y = 114600 x+149400 S(x) = 114600x + 149400