(a)

Write the linear equation that relates the percent  of twelfth grade students reported daily use of cigarettes daily to the number of  years after 1996.

Line equation in slope-intercept form is , where is slope and is -intercept.

Find the slope of the equation using the coordinates and .

Formula for the slope is .

.

Now the line equation is .

Find the -intercept.

.

.

(b)

Find the intercepts of the equation .

Find the -intercept by substituting in .

The -intercept is .

Intercepts are .

(c)

The -intercept tells the percent of such teens in 1996, which is the first data point.

The -intercept tells the smoking behavior fallow this simple linear model.

(d) 

Graph :

In the graph the year 2016 represent the number 20.

Substitute in .

Therefore, according to graph, by 2016, 2.2 percent of teenagers will smoke.

(a) The linear equation .

(b) Intercepts are .

(c)

The -intercept tells the percent of such teens in 1996, which is the first data point.

The -intercept tells the smoking behavior fallow this simple linear model.

(d) In 2016, 2.2 percent of teenagers will smoke.