According to a census, there were 61 people per square mile (this is called the population density) in a certain country in 1980. by 2000, the number of people per square mile had grown to 89 . use this information to develop a linear equation in slope-intercept form. in developing the equation, think of 1980 as year zero. let x be the time in years and let y be the population density. write a linear equation in slope-intercept form to model the given information.

Step-by-step explanation:

Let x be the time in years and let y be the population density.

We know that slope-intercept form of an equation is in format , where,

m = Slope of line,

b = The y-intercept.

Let year 1980 be . Now, we have given two points (0,61) and (20, 89).

Let us find slope of using coordinates of given points.

Since at , , so y-intercept is 61.

Therefore, the equation represents the given equation.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

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