Question

HELP PLEASE

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+5, where p is the number of packages the he orders.
What is the practical domain of the function?
all real numbers from 1 to 9, inclusive
all integers from 1 to 9, inclusive
{17, 29, 41, 53, 65, 77, 89, 101, 113}
all real numbers

Answer 1

that would be all integers from 1 to 9 because there is only 9 packages he can order

Answer 2

All integers from 1 to 9, inclusive

Explanation:

The caterer is planning to order more rolls.

The function that modelates this situation is :

`f(p)=12p+5`

f(p) represents the amount of rolls that he has.

The function depends of the variable p.

Therefore, the domain of this function are all the possible values for p.

p represents the number of packages that he orders ⇒ p must be an integer number

Also, he can order up to 9 packages of rolls ⇒

`0\leq p\leq 9` and p is an integer number

But we know that he will order more packages of rolls ⇒ 0 is a restricted value for the function ⇒
`0<p\leq 9` being p and integer number.

We also could write the domain as :

Dom ( f(p) ) = p ∈ {1,2,3,4,5,6,7,8,9}