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 = [tex]\frac{8}{9}[/tex]
Thus, the total pounds of chicken,
[tex]y=\frac{8}{9}+x[/tex]
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,
[tex]0=\frac{8}{9}+0[/tex]
∴ Line [tex]y=\frac{8}{9}+x[/tex] does not pass through the origin.
Hence, given relation is not proportional.
