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

Answer:

No, it is not a proportional relation.

Step-by-step 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 = $\frac{8}{9}$

Thus, the total pounds of chicken,

$y=\frac{8}{9}+x$

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,

$0=\frac{8}{9}+0$

∴ Line $y=\frac{8}{9}+x$ does not pass through the origin.

Hence, given relation is not proportional.

Answer 2

No, this rel. is not proportional because of the addition involved ("plus 1 lb for each guest").

A proportional rel. features mult. only.