Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch. he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover

He can make 4 batches of sugar cookies.

Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left

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: