Louis wants to carpet the rectangular floor of his basement. the basement has an area of 864 square feet. the width of the basement is 2/3 its length. what is the length of louis' s basement?

By definition, the area of a rectangle is given by:

Where,

w: width of the rectangle

l: length of the rectangle

Substituting values in the given equation we have:

From here, we clear the value of l.

We have then:

the length of Louis' s basement is:

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:

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides