A square window has an area of 1,232 in2. (a) What is the length of 1 side of the window? Round your answer to the nearest tenth. Show all of your work. (1 point for the correct answer and 1 point for showing how you got your answer)

x = length of one side.

1,232in^2 = x^2

Take the sqrt of both sides.

35.1 in = x

The length of one side = 35.1 in

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: