Question

At a cookout, Mrs. Crawford makes 8/9 pound of chicken, plus 1 pound for each guest. Is the relationship between the number of guests and pounds of chicken proportional?

Answer 1

No, it is not a proportional relation.

Explanation:

Let x represents the number of guest and y represents the number of pounds of chicken made,

Given,

The number of pounds of chicken for each guest = 1,

So, the number of pounds for x guests = x,

Also, the number of pounds already made =
`(8)/(9)`

Thus, the total pounds of chicken,

`y=(8)/(9)+x`

Since, a relation is called proportional if the variables are directly proportional,

That is, the line obtained by the relation passes through the origin,

Since, if x = 0, y = 0,

`0=(8)/(9)+0`

∴ Line
`y=(8)/(9)+x` does not pass through the origin.

Hence, given relation is not proportional.