Edward is the manager in a shoe factory.
He wants to calculate the dimensions of a new cube-shaped storage container
they are planning to manufacture.
The shoe boxes measure 24 cm by 45 cm by 32 cm.
If they want to build a cube-shaped container as small as possible in a way that
the shoe boxes fill it completely, what will be the side length of the container?

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:

think about it deeply and passionately about this property

i am sorry