William has 8 1/4 cup of fruit juice. if he devided the juice into 3/4 cup servings, how many servings will he have

11 servings

Step-by-step explanation:

We can represent with

Then we have to solve this equality:

x = 11 servings

William will have 11 servings if he divides by this way.

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:

i dont know

step-by-step explanation: