Question

on a farm there are 3 sheep for every 1 horse. if y = the number of sheep, and X = the number of horses, which graph models the relationship?​

Answer 1

The graph in the attached figure

Explanation:

Let

x ----> the number of horses

y ---> the number of sheep

In this problem the relationship between the variables, x, and y, represent a proportional variation.

Remember that, if the linear equation represent a proportional variation then it can be expressed in the form
`y/x=k` or
`y=kx`

we have

For x=1, y=3

Find the value of the constant of proportionality k

`k=(3)/(1)=3\ (sheeps)/(horse)`

substitute

`y=3x`

using a graph tool

The graph in the attached figure