John placed some spherical bearing balls of diameter 2 cm in to a beaker of volume 264 ml. He then poured water in to the beaker to make it completely full. How many bearing balls were there in the beaker if John exactly used 88 ml of water to make the beaker completely full?

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:

4 puzzles in 3 hours

step-by-step explanation: