The annual average income y of American man over 25 whit an

The annual average income y of American man over 25 whit an associate degree is approximate by the linear equation y=1348.9x+36034.5, where x is the number of years after 2000.

y=48174.6

Find and interpret the slope of the equation.?

Solution

The approximate annual average income y of American man over 25 with an associate degree is described the linear equation y=1348.9x+36034.5, where x is the number of years after 2000.

When y = 48174.6, we have, 48174.6 =1348.9x+36034.5 or,1348.9x = 48174.6- 36034.5 = 12140.1 so that x = 12140.1/1348.9 = 9. Thus, the annual average income y of American man over 25 with an associate degree, 9 years after the year 2000 i.e. in 2009,is $ 48174.60.

The slope of the given linear equation is the rate of change or the annual increase in the avarage income of anAmerican man over 25 witht an associate degree after the year 2000. The amount os such annual increase is $ 1348.90. ( in the equation y = mx +cx, m is the slope of this line and it represents rate of change of y with changes in x).