Question

rocky has 7 bottles of water. he will buy more bottles of water from the store. the store has 8 cases in stock and each case contains 24 bottles of water. the store will not sell particular cases. the function that models the number of bottles of water rocky will have after this purchase is f(c) = 24c + 7, where c is the of number of cases of water he buys.

what is the practical domain of the function ?
a. all real numbers
b. {31,55,79,103,127,151,175,199}
c. all real numbers from 1 to 8, inclusive
d. {1,2,3,4,5,6,7,8} (The answer)

Answer 1

do you know what the word "domain" means in this example?

Answer 2

no

Answer 3

oh ok
then you can't answer it until you know

Answer 4

domain means the possible number replacements for c, in other words, the possible numbers c can be

Answer 5

C represents a number of cases, and you are told 'the store has 8 cases in stock'

Answer 6

so we know that C cannot be bigger than 8
that narrows it down a bit

Answer 7

also i believe you are being told that you cannot break up the cases, so you can only by whole number cases
does that help or not yet?

Answer 8

*buy whole number cases

Answer 9

yea thanks

Answer 10

Could you buy -2 cases of water?

Please summarize what you have learned. Write out: "The domain of this function is .... "

Answer 11

is D