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In 2001 there were 6680​ electric-powered vehicles in use in the United States. In 1998 only 4760 electric vehicles were being used.   (​Source:  U. S. Energy Information​ Administration)


a.   Assume that the relationship between​ time, x, and number of​ electric-powered vehicles,​ y, is linear. Write an equation in​ slope-intercept form describing this relationship. Use ordered pairs of the form​ (years past 1998 comma number of​ vehicles).

Answer :

An equation of slope-intercept form describing this relationship. Use ordered pairs of the form​ the equation, y = 640x + 4760

Since there were 4760 electric vehicles in 1998, when x=0 (indicating 0 years have passed since 1998), y=4760. There were 1,920 more electric vehicles on the road after three years. 1920 / 3 = 640 is the average rate of change every year. Between 1998 and 2001, there were 640 more automobiles every year.Our slope measures m=640. By dividing the change in y by 4760, or 1920, we can determine the slope.The y-intercept is just the starting point, or x=0. At this point, x=0. The y-intercept is shown here: (0, 4760). Equation of slope intercept: y = 640x + 4760 where b=4760.

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