A cookie recipe calls for 2 1/4 cups of flour and 1 1/2 cups of sugar. If the amount of the ingredients are increased proportionally and the amount of sugar was increased to 9 cups, how many cups of flour would be needed?
A. 6
B. 8 1/4
C. 9 3/4
D. 13 1/2

repeat the question

step-by-step explanation:

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: