Three times the second of three consecutive even integers is twelve less than twice the sum of the first and third integers.

10, 12, 14

Step-by-step explanation:

x-2, x, x+2

3x = 2 x ((x - 2) + (x + 2)) -12

3x = 4x - 12

x = 12

x-2 = 10

x+2 = 14

check: (10 + 14) x 2 - 12 = 48 - 12 = 36 = 3 x 12

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:

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336