Write an equation that models the bee population (b), (w) weeks after it is first measured. You'll use the variable b for the bee population and the variable w for the weeks after it is first measured.

The required equation that models the bee population (b) is y = 2000x + 500

The equation of a line in slope-intercept form is expressed as y = mx + b

where;

Using the coordinate points on the graph (2, 2000) and (3, 4000)

Get the slope of the line

Since one of the coordinate points lies on the y-axis at (0, 500), hence the y-intercept is 500.

The required equation that models the bee population (b) is y = 2000x + 500

Learn more on equation of a line here: link

b = 2000w + 500

Step-by-step explanation:

Here, we want to write a linear equation

The general form is ;

y = mx + c

where m is the slope and c is the y-intercept

the value of c is 500

To get the slope, we use any two points on the line and apply the slope formula

This will be;

(2,2000) and (3,4000)

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

m = (4000-2000)/3-2 = 2000/1 = 2000

So the equation is;

b = 2000w + 500