The table below relates the number of rats in a population to time in weeks. use the table to write a linear equation with w as the input variable.
p(w)=

C(w) = 6w + 9

Step-by-step explanation:

Anytime 0 is given somewhere, it should be given close scrutiny. In an equation whose general form is

y = mx + b

0 will determine the y intercept immediately.

So when x = 0, y will equal

y = 0*m + 9

So b = 9

y = mx + 9 Now we need to find m

I should start using your variables.

C(w) = m*w + 9

when w = 3 then C(3) = 27

27= 3m +9

27-9 =3m + 9 -9

18 = 3m

18/3 = 3m/3

x = 6

So the complete equation is

C(w) = 6w + 9

Step-by-step explanation:

To find the linear equation, first we need to calculate the slope of that line, we is defined as

Where we need to use two points from the table: (0,9) and (4,33).

Replacing these points, we have

Now, we use the point-slope formula to find the equation

Let's call and .

The equation that models the given table is