If I had a cabin that has four square walls with no windows, each wall is 8 ft. tall, and 12 ft. long. The ceiling is 12 ft. x 12 ft. Without counting the floor, what is the area?

528 feet squared

Step-by-step explanation:

Wall = 8 x 12 = 96

All 4 walls = 96 x 4 = 384

Ceiling = 12 x 12 = 144

Walls and ceiling = 384 + 144 = 528

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: