Two positive integers are 3 units apart on a number line. their product is 108.
which equation can be used to solve for m, the greater integer?
a. m(m – 3) = 108
b. m(m + 3) = 108
c.(m + 3)(m – 3) = 108
d.(m – 12)(m – 9) = 108

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: