Question

Andre has 45 sheets of paper and needs to buy more. A store has 5 reams of paper, and each

ream contains 500 sheets of paper. The number of sheets of paper Andre has after

purchasing x reams is represented by a function.

f(3) = 500.+ 45

What is the practical domain of the function?

{545, 1045, 1545, 2045, 2545}

O all real numbers from 1 to 5, inclusive

O all real numbers

O

all integers from 1 to 5, inclusive

Answer 1

The practical domain of the function is the set of all integers from 1 to 5, inclusive.

Explanation:

It is given the initial number of sheets of paper is 45.

A store has 5 reams of paper, and each ream contains 500 sheets of paper.

Let f(x) represent the number of sheets after purchasing x reams.

`f(x)=500x+45`

Domain is the set of input. In other words domain is the set of x-values.

Since number of reams can not be a negative or fraction value, therefore, the domain of the function is {1,2,3,4,5}.

Andre needs to buy more sheets, so number of reams of paper can not be 0.

Thus, the practical domain of the function is the set of all integers from 1 to 5, inclusive.