Kany is gift wrapping boxes for his class fundraiser. He calculates that the surface area, in square feet , of a cube - shaped box with a side of m feet is given by the function S(m) = 6m ^ 2 He also finds that the costCin dollars, of wrapping a box with a surface area of square is given by the function C(x) = 0.15x + 0.2 . Determine the composition of functions of the cost of a boz of side length m feet.

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: