Problem

In problem involving days, a 365-day year is assumed.Sports salaries. Table 1 shows the av...

In problem involving days, a 365-day year is assumed.

Sports salaries. Table 1 shows the average salaries for players in Major League Baseball (MLB) and the National Basketball Association (NBA) in selected years since 1990.

(A) Let x represent the number of years since 1990 and find an exponential regression model (y = abx) for the average salary in MLB. Use the model to estimate the average salary (to the nearest thousand dollars) in 2022.


(B) The average salary in MLB in 2000 was 1.984 million. How does this compare with the value given by the model of part (A)?

Table 1 Average Salary (thousand $)

Year

MLB

NBA

1990

 589

 750

1993

1,062

1,300

1996

1,101

2,000

1999

1,724

2,400

2002

2,300

4,500

2005

2,633

5,000

2008

3,155

5,585

2011

3,298

4,755

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