Suppose the rabbit population r and the wolf population w are governed by dr dt = 4r 2w dw dt = r + w (i) Is this system stable, neutrally stable, or unstable? (ii) After a long time, what is the proportion of rabbits to wolves? (iii) If initially r = 300 and w = 200, what are the populations at time t?

-8

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval