000000000
What interval includes all possible values of x, where -3(6 - 2x) = 4x + 12?
(-, -3]
1-3, )
0 (-0, 15]
O [15,-)

answer:

the correct answer is O[15,-)

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: