3. 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?

Question

3.	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?

freemap · Answer

@shifuyanli

freemap · Answer

ok, I think that the x value equal domain ?

freemap · Answer

@shifuyanli

freemap · Answer

ok

anonymous · Answer

@pooja195

freemap · Answer

@amistre64

amistre64 · Answer

x is just the name of a variable ... they named it p in this case.

what does p (the domain) represent?

freemap · Answer

represents the number of cups

amistre64 · Answer

almost... p represents the number of packages ... there is 25 cups in each 'p'ackage

amistre64 · Answer

c represent the number of 'c'ups we get for buying a certain number of 'p'ackages

amistre64 · Answer

if we graph this function, is there any limit to how many cups or packages that it would represent?

freemap · Answer

Bonnie will buy up to 200 paper cups for a party. so yes 200

amistre64 · Answer

no, that information limits the practical part of the question .... the theoretical part pertains to the graph of: c = 25p

if we graph this, then we can theoretically buy -10 packages and obtain -250 cups:

c= 25*(-10)

c= -250

freemap · Answer

I see

amistre64 · Answer

so depending on how fancy you have to give an answer .... theoretically, the domain is infinite in both directions, and so is the range.

freemap · Answer

ok, and the practical part of the question would be limited

amistre64 · Answer

yep, but limited to what?

the domain ... number of packages.  is what?

freemap · Answer

uhmm 200 right

amistre64 · Answer

c is limited to 200 yes, or 0 ... depending on how many packages we buy.

p={0,1,2,3,4,...,8}
c={0,25,50,100,...,200}

amistre64 · Answer

pfft, i forgot a 75 lol

amistre64 · Answer

assuming we cant buy part of a package, id say that these would define the domain and range sufficiently

freemap · Answer

ok, what I see is a matching of the number so I would pick one pair

freemap · Answer

Just saw your post, discard what i said

amistre64 · Answer

yep ... but all matching pairs are practical

freemap · Answer

okay I'll be sure the list them all, wait the domain would be the x and the range would be y

amistre64 · Answer

yes,  x or p ... same variable different name

y or c, same variable, different name

amistre64 · Answer

yes

freemap · Answer

sorry, takes a while for me sometimes thanks for your help.

amistre64 · Answer

youre welcome

freemap · Answer

I'm about to post again will you help

amistre64 · Answer

its about 10pm .... im old and tired so im going to bed soon

freemap · Answer

Ok, thanks for this time. Have a great night

amistre64 · Answer

good luck :)

freemap · Answer

Thanks