Question

The annual average income y of an American man with an associate’s degree is given by the linear equation y = 1983x + 42,972, where x is the number of years after 1999. What does the slope of the equation represent? (Source: Based on data from U.S. Bureau of the Census, 1999­-2004).

Answer 1

The slope of the equation represent the Change in annual average income of an American man with an associate’s degree every year .

Explanation:

Given :
`y = 1983x + 42972`

To Find : What does the slope of the equation represent?

Solution:

`y = 1983x + 42972`

y represents The annual average income of an American man with an associate’s degree

x represents the the number of years after 1999

Equation of line =
`y= mx+c`

where m is the slope

Definition of Slope : rate of change of y for a unit change in x along the line.

So, Slope of given equation is 1983

So, the slope of the equation represent the Change in annual average income of an American man with an associate’s degree every year .