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

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490