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The annual average income y of an American man over 25 with an associate's degree is approximated by the linear equation y = 1009.9x + 47829.0, where x is the number of years after 2000.

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Final answer:

The subject of this question is Mathematics, specifically linear equations. The given equation represents the annual average income of an American man over 25 with an associate's degree. By substituting different values of x into the equation, you can calculate the corresponding annual average income for different years after 2000.

Step-by-step explanation:

The subject of this question is Mathematics, specifically linear equations.

The given equation, y = 1009.9x + 47829.0, represents the annual average income of an American man over 25 with an associate's degree.

The variable x represents the number of years after 2000, and the variable y represents the annual average income in dollars. The coefficient 1009.9 represents the rate at which the income increases each year, and the constant term 47829.0 represents the starting income in the year 2000.

By substituting different values of x into the equation, you can calculate the corresponding annual average income for different years after 2000.