Why is x = 6 a solution to the proportion StartFraction 192 over 36 EndFraction = StartFraction 32 over x EndFraction? because 192 divided by 32 is equal to 6 because 192 divided by 36 is equal to 6 because if you substitute 6 into the equation for x and cross multiply, you get 1,152 = 1,152 because if you substitute 6 into the equation for x and cross multiply, you get 1,296 = 1,296

A

Step-by-step explanation:

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: