PLEASE HELP !!! The cost of a pottery painting party is $9 per person, plus a one-time supply fee of $89. Which of the following
2 answers:
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:
None of the given options match the answer.
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Answer:
Option E: 24.
Step-by-step explanation:
When Caleb (C) has 20 more books than Danica (D), we have:
(1)
Now, when Caleb gives Danica half of his books:
(2)
Danica will have 4 more books than Caleb, so:
(3)
Also we have that:
(4)
By entering equation (2) and equation (3) into equation (4) we have:
(5)
From (1) we have:
(6)
By entering (6) into (5):
And, from (6):
Therefore, the correct option is E, Caleb had to start with 24 books.
I hope it helps you!