Cathy attended a birthday party where the guests took their shoes off to jump in a bouncy castle. She made this graph
to compare the number of people at the party to the shoes
on the rack. What statement best describes the relationship?

A) The relationship is not proportional because it does not include negative values

B) The relationship is not promotional because it does not include negative values.

C) The relationship is not proportional because it’s graph is a straight line through the origin

D) The relationship is professional because the number of shoes is always greater than the number of people

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: