Question

NEED HELP 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.

Answer 1

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