A package of paper towels contains 3 rolls. Each package of paper towels costs $2.79.
A function, f(x), is written to represent the cost of purchasing x packages of paper towels.
What is the practical domain for the function f(x)?
these are the options
all real numbers
all whole numbers
all whole numbers that are multiples of 3
all positive integers
I selected the last one. Is this right????? Plz help!
I believe you are right. The number of rolls will not be negative and they come in a plastic wrapping that makes it difficult to buy a fractional roll.
No, selecting "all positive integers" is not the correct option for the practical domain of the function f(x).
The correct option is "all whole numbers that are multiples of 3." The reason for this is that the problem states that each package contains 3 rolls, so purchasing a fractional or decimal amount of packages would not make sense in this context. Additionally, the term "whole numbers" refers to non-negative integers (0, 1, 2, 3, 4, ...), and "multiples of 3" refers to numbers that can be divided evenly by 3 (3, 6, 9, 12, ...).
To determine the practical domain for the function f(x), we need to consider the constraints or limitations that apply to the context of the problem.
In this case, the function f(x) represents the cost of purchasing x packages of paper towels. Let's analyze the given information:
- A package of paper towels contains 3 rolls.
- Each package of paper towels costs $2.79.
Considering this information, we can conclude that the number of packages of paper towels cannot be negative or a fraction since this would not make sense in the context of the problem.
Next, let's consider the options provided:
1. All real numbers: This option includes both positive and negative numbers, as well as fractions and decimals. However, we have already established that the number of packages cannot be negative or a fraction, so this option is not applicable.
2. All whole numbers: This option includes all positive integers (1, 2, 3,...) and zero. However, purchasing zero packages would not make sense in the context of the problem, as that represents not buying anything. Therefore, this option is not applicable either.
3. All whole numbers that are multiples of 3: Since each package of paper towels contains 3 rolls, it is reasonable to assume that the number of packages should be a multiple of 3. Therefore, this option is a possible choice.
4. All positive integers: This option includes all positive whole numbers. Since the number of packages should be at least 1 to make a purchase, this option is also a possible choice.
Based on the given options and analysis, both option 3 (all whole numbers that are multiples of 3) and option 4 (all positive integers) could be considered the practical domain for the function f(x). However, it is worth noting that the exact practical domain may depend on the specific requirements or context of the problem.