Question

Light truck is a vehicle classification for trucks weighing up to
8500 pounds. In 2011, 5.919 million light trucks were sold in the U.S. In 2017, 11.055 million light trucks were sold. Write an equation in point-slope form that
represents the number of light trucks y sold y vears after 2010

Answer 1

To write an equation in point-slope form, we need to know the slope and a point on the line. Let's begin by determining the slope.

The slope can be found by calculating the change in y (number of light trucks) divided by the change in x (years).

change in y = 11.055 million - 5.919 million = 5.136 million
change in x = 2017 - 2011 = 6

slope = change in y / change in x = 5.136 million / 6 = 0.856 million

Now that we have the slope, we can choose a point on the line. Let's use the point (2011, 5.919 million).

Using the point-slope formula:

y - y₁ = m(x - x₁)

where:
y₁ = 5.919 million
x₁ = 2011
m = 0.856 million

Plugging in the values:

y - 5.919 = 0.856(x - 2011)

This is the equation in point-slope form representing the number of light trucks sold y years after 2010.