The diagram shows the diffrence between my home h and two towns

V = D/t = 10 / 20 = 0.5 mile per min

V = D/t = 20/30 = (2/3) mile per min

V = D/t = (10+20)/ 50 = (3/5) mile per min

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: