Find the constant of variation k for the direct variation. x f ( x ) 0 0 3 6 4 8 7 14 a.) k = –2 b.) k = 0.5 c.) k = 2.5 d.) k = 2

The correct option is D.

Step-by-step explanation:

It is given that x is directly proportional to f(x) and constant of variation is k.

Therefore k is the slope.

Slope formula is

From the table the two points are (0,0) and (3,6).

Therefore the value of constant of variation is 2 and option D is correct.

i can you with this sweetie!

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb