Adam, Ben, Cathy, and Doris painted a fence. Adam painted the first 2/7 of the fence. Ben painted 1/3 of what remained. Cathy painted 3/5 of what remained after Adam and Ben had finished, and Doris painted the final 20 feet of the fence. What was the total length of the fence and how many feet did each person paint?

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:

10.4 inches

step-by-step explanation:

2x2x2.6