Respuesta :
c(x)=9x+89
I know that you don't have the answer listed, but it is the correct answer.
We have been given that the the cost of a pottery painting party is $9 per person, plus a one-time supply fee of $89.
As we can see from the conditions, as the number of persons increases, so does the cost. Also, we can see that the one-time supply fee is a constant and is independent of the number of people in the pottery painting party.
Now, since, the "person cost" of the part is $9 per person, let us assume that there are x people attending the party, then the total person cost will be $ 9x. Since $ 89 is the fixed cost, that will not change.
Thus, the function, c(x) that best models the he average cost per person for the party is:
[tex] c(x)=9x+89 [/tex]
None of the given options match the answer.