In order to make a specific shade of green paint, a painter mixes 112quarts of blue paint, 2 cups of green paint, and 12 gallon of white paint. How many cups of each color are needed to make 100 cups of this shade of green paint?

step-by-step explanation:

no of data

divide by no of mode

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:

where is the figure