Need quick according to an x/y table, when x = –3, y = 21; when x = 4, y = –28; and when x = 5, y = –35. type the constant of variation, k. just type a number (possibly a fraction, with a slash). if this is not direct variation, type the word no.

According to an x/y table, when x = –3, y = 21; when x = 4, y = –28; and when x = 5, y = –35.

when x = –3, y = 21

If it is a direct variation then it satisfies y = kx

Lets plug in -3  for x  and 21  for y and find out k

y = kx

21= k (-3)

Divide by -3 on both sides

So k = -7

Lets check whether k = -7 for the other two set of values

when x = 4, y = –28,

-7 times 4 = -28

when x = 5, y = –35

-7 times 5 = -35

k =-7 satisfies all the set of values

So constant of variation k = -7

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d