Problema Solution

Data regarding salaries of several professional athletes shows in 1991 the salary was $255,000. In 2001 the salary was $1,440,00.

a) use data points to find linear function that fits the data

b) use function to predict average salary in 2005 and 2010. Let S represnt the average salary x years from 1990, let (x) represent the number of years since 1990. What is the average salary for 2005? What is the average salary for 2010?

Answer provided by our tutors

Data regarding salaries of several professional athletes shows in 1991 the salary was $255,000. In 2001 the salary was $1,440,00.

a) use data points to find linear function that fits the data

(1,255,000),(11,144000) are two points.

slope m =(144000-255000)/10=-11100.

S-255000=-11100(x-1).

S=-11100x+266100.

b) use function to predict average salary in 2005 and 2010. Let S represnt the average salary x years from 1990, let (x) represent the number of years since 1990. What is the average salary for 2005? What is the average salary for 2010

for 2005 x=15.

S=-11100*15+266100 =$99,600.

S(20)=-11100*20+266100=$44100.