Abeverage manufacturer performs a taste-test and discovers the people like their fizzy beverages best when the radius of the bubbles is about 0.5 mm. according to the formula below, what would be the volume of the one of these bubbles?

Answer with explanation:

Radius of the Bubble = 0.5 mm

Volume of the bubble is given by the formula

Taking cube on both sides

Gives,→ V=0.52 mm³(approx)

Option C: about 0.52 mm³

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:

answer4 to the second power is 16

and 4 to the third power is 64,