In 2001 there were 6680 electricpowered vehicles in use in t

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 comma1998,

number of vehicles).The equation is

nothing.

(Type your answer in slope-intercept form.)

Solution

(years past 1998 , no of vehicles)

So, the coordinates are
(0 , 4760) and (3 , 6680)

Slope, m = (y2 - y1) / (x2 - x1)

m = (6680 - 4760) / (3 - 0)

m = 640

So, we have slope intercet form as :
y = mx + b

y = 640x + b

And using the point (0,4760), we have:
4760 = 640(x) + b
b = 4760

So, final eqn is:

y = 640x + 4760 ----> ANSWER