Understanding the Concept of Cost per Unit

Oct 13, 2025 by magicalceylontours.com 44 views

Introduction

In this article, we will explore the concept of representing the cost of each notebook in a package of 6 notebooks. We will use mathematical equations to find the solution to this problem. The total cost of the package is $\$13.50$ , and we need to find the cost of each notebook, denoted by $p$ .

The Problem

Paul bought a package of 6 spiral notebooks for a total cost of $\$13.50$ . We need to find the equation that represents the cost, in dollars, of each notebook.

Analyzing the Options

Let's analyze the options given:

Option A: $p = 13.50 - 6$
Option B: $p = 13.50 \times 6$
Option C: $p = 13.50 + 6$
Option D: (no equation provided)

Understanding the Concept of Cost per Unit

To find the cost of each notebook, we need to divide the total cost by the number of notebooks. This is a basic concept in mathematics, where we divide the total cost by the number of units to find the cost per unit.

Calculating the Cost per Notebook

Let's calculate the cost per notebook using the given information:

Total cost = $\$13.50$ Number of notebooks = 6

Cost per notebook = Total cost ÷ Number of notebooks = $\$13.50$ ÷ 6 = $\$2.25$

Representing the Cost per Notebook as an Equation

Now that we have calculated the cost per notebook, we can represent it as an equation. The equation should be in the form of:

Cost per notebook = Total cost ÷ Number of notebooks

Using the given information, we can write the equation as:

$p = 13.50 ÷ 6$

Simplifying the equation, we get:

$p = 2.25$

Conclusion

In conclusion, the equation that represents the cost, in dollars, of each notebook is:

$p = 13.50 ÷ 6$ $p = 2.25$

This equation represents the cost per notebook, which is $\$2.25$ . Therefore, the correct answer is not among the options provided, but we can see that option B is the closest representation of the correct equation.

Final Answer

Q: What is the total cost of the package of 6 spiral notebooks?

A: The total cost of the package of 6 spiral notebooks is $\$13.50$ .

Q: How many notebooks are in the package?

A: There are 6 notebooks in the package.

Q: What is the cost per notebook?

A: The cost per notebook is $\$2.25$ .

Q: Which equation represents the cost, in dollars, of each notebook?

A: The equation that represents the cost, in dollars, of each notebook is:

$p = 13.50 ÷ 6$ $p = 2.25$

Q: Why is the equation $p = 13.50 \times 6$ incorrect?

A: The equation $p = 13.50 \times 6$ is incorrect because it represents the total cost multiplied by the number of notebooks, which is not the correct way to find the cost per notebook.

Q: Why is the equation $p = 13.50 - 6$ incorrect?

A: The equation $p = 13.50 - 6$ is incorrect because it represents the total cost minus the number of notebooks, which is not the correct way to find the cost per notebook.

Q: Why is the equation $p = 13.50 + 6$ incorrect?

A: The equation $p = 13.50 + 6$ is incorrect because it represents the total cost plus the number of notebooks, which is not the correct way to find the cost per notebook.

Q: How do I find the cost per notebook?

A: To find the cost per notebook, you need to divide the total cost by the number of notebooks.

Q: What is the formula for finding the cost per notebook?

A: The formula for finding the cost per notebook is:

Cost per notebook = Total cost ÷ Number of notebooks

Q: Can I use a calculator to find the cost per notebook?

A: Yes, you can use a calculator to find the cost per notebook. Simply divide the total cost by the number of notebooks.

Q: What if I have a different number of notebooks?

A: If you have a different number of notebooks, you can simply divide the total cost by the new number of notebooks to find the new cost per notebook.

Q: Can I use this formula for other types of products?

A: Yes, you can use this formula for other types of products. Simply divide the total cost by the number of units to find the cost per unit.