Question

Someone Please grant my Christmas wish, to help me with this question

Answer 1

Bonnie will buy up to 200 paper cups for a party. She found a store that sells paper cups in packages of 25. The function c(p) = 25p represents the number of cups Bonnie would have if she bought p packages of cups from this store.
(a) What are the theoretical domain and range of function c?
(b) What are the practical domain and range of function c?

Answer 2

Well if Bonnie buys 1 Package of cups (p=1), then she ends up with 25 cups, ya?

Domain and range are all about "sensible" amounts.
So like... can Bonnie purchase negative 1 packages of cups?

Answer 3

Would Bonnie want to purchase 400 packages of cups?
Think about it mister map.
Recall how many cups she actually needs.

Answer 4

Oh Theoretical vs practical?
Hmm

Answer 5

So I guess what I was describing would be the "practical".

Answer 6

maaaaaaap, come bacckkkk >.<

Answer 7

okay, she wouldn't want to do that 25p so 25p would have equal 200 the max amount of cups she would have

Answer 8

Yes.
200=25p
200=25(8)

So she could buy `as many as 8 packages of cups` and `as few as 0 packages of cups`.
I guess we would call that our "practical" domain,
because that is realistically what she is looking for.

But theoretically, she could buy as many packages as she wants, ya?
I think that's... maybe what they're looking for in part a.
She could buy as little as 0 packages, and infinitely many theoretically.

Answer 9

Let's stick to the limits given in the problem statement. Bonnie can buy up to 200 paper cups. If each package of paper cups contains 25 cups, what is the upper limit on the number of packages she can buy? As zepdrix has done, use division to answer this question.

c(p) represents the number of cups she can buy, as a function of p, the number of packages of 25 cups each.

c(p), written as a function of p, is c(p)=25p.

First question: what are the domain and range of the function c(p)=25p? Before answering this, please review "domain" and "range." Note: you might find several different definitions for "domain."

How would you choose the deinition most relevant to your math problem?

Which is the independent variable here, c or p?
Which is the dependent variable, c or p?