Which one is greater 3 with the power of 2 or 2 with the power of 3 tell me why

3 with the power of 2

Step-by-step explanation:

This is greater because when you multiply 3 by 3 you get 9, and when you multiply 2 x 2 x 2 you get 8

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: