Find two numbers whose sum is mar 45 and subtracted is 21.

let the two number be x and y.

so x + y = 45

when 45 - 21 = 24.

so x = 24

y = 21.

at last, 21 + 24 = 45

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: