The box is laid on its side and the white label covers 60% of the lateral surface area of the box. Find the length x of the box.

5 in

Step-by-step explanation:

Since we know that the white surface is 60 percent of the lateral surface area, we can say that the one face of the prism (white part is 60% and the other is 40%) so for every percent we have 0.05 inches so 0.05 * 40 is 2 and 2+3 =5

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: