Question

A caterer has 5 rolls. he is ordering more rolls. he can order up to 9 packages of rolls and each package contains 12 rolls. the caterer cannot order partial packages. the function that models the number of rolls the caterer has is f(p)=12p 5f(p)=12p 5, where p is the number of packages the he orders. what is the practical domain of the function? {17, 29, 41, 53, 65, 77, 89, 101, 113}{17, 29, 41, 53, 65, 77, 89, 101, 113} all integers from 1 to 9, inclusive all real numbers from 1 to 9, inclusive all real numbers

Answer 1

all integers from 1 to 9, inclusive.

Answer 2

The function that models the number of rolls the caterer has is f(p)=12p+5, where p is the number of packages that he orders. It is known that he can order up to 9 packages of rolls and cannot order partial packages. This means that he can order only the whole number of packages, i. e., 1, 2, 3, 4, 5, 6, 7, 8 ,9 (he cannot order 2.5 packages). So, the domain of the function f(p) is the set

{1, 2, 3, 4, 5, 6, 7, 8, 9}.

Answer: all integers from 1 to 9