Violet Was Comparing The Price Of Chicken Breast At Two Stores. The Equation Y = 11.38 X Y = 11.38x Y = 11.38 X Represents The Total Cost, In Dollars And Cents, Y Y Y , For X X X Pounds Of Chicken Breast At SuperGrocery B. At SuperGrocery A, 3 Pounds

Mar 11, 2025 by ADMIN 251 views

**Comparing Prices of Chicken Breast at Two Stores**

Introduction

In today's competitive market, consumers are constantly on the lookout for the best deals on everyday items. When it comes to purchasing chicken breast, Violet is no exception. She is determined to find the most affordable option at two local stores, SuperGrocery B and SuperGrocery A. In this article, we will explore the equation that represents the total cost of chicken breast at SuperGrocery B and compare it to the prices at SuperGrocery A.

The Equation for SuperGrocery B

The equation $y = 11.38x$ represents the total cost, in dollars and cents, $y$ , for $x$ pounds of chicken breast at SuperGrocery B. This equation indicates that the cost of chicken breast at SuperGrocery B is directly proportional to the weight of the chicken breast purchased. In other words, the more pounds of chicken breast you buy, the more you will pay.

Understanding the Equation

To better understand the equation, let's break it down into its components. The variable $y$ represents the total cost of the chicken breast, while the variable $x$ represents the weight of the chicken breast in pounds. The constant $11.38$ is the cost per pound of chicken breast at SuperGrocery B.

Calculating the Cost of Chicken Breast at SuperGrocery B

Using the equation $y = 11.38x$ , we can calculate the cost of chicken breast at SuperGrocery B for any given weight. For example, if Violet wants to buy 2 pounds of chicken breast, the total cost would be:

$y = 11.38 \times 2$ $y = 22.76$

Therefore, the total cost of 2 pounds of chicken breast at SuperGrocery B would be $22.76.

Comparing Prices at SuperGrocery A

Now that we have a clear understanding of the equation for SuperGrocery B, let's compare it to the prices at SuperGrocery A. According to the problem, 3 pounds of chicken breast cost $32.14 at SuperGrocery A. We can use this information to determine the cost per pound of chicken breast at SuperGrocery A.

Calculating the Cost per Pound at SuperGrocery A

To calculate the cost per pound at SuperGrocery A, we can divide the total cost by the weight of the chicken breast:

$Cost per pound = \frac{Total cost}{Weight}$ $Cost per pound = \frac{32.14}{3}$ $Cost per pound = 10.71$

Therefore, the cost per pound of chicken breast at SuperGrocery A is $10.71.

Comparing the Prices

Now that we have the cost per pound at both SuperGrocery B and SuperGrocery A, we can compare the prices. The cost per pound at SuperGrocery B is $11.38, while the cost per pound at SuperGrocery A is $10.71. This means that SuperGrocery A is offering a lower price per pound of chicken breast.

Conclusion

In conclusion, Violet's comparison of the prices of chicken breast at two stores has revealed some interesting insights. The equation $y = 11.38x$ represents the total cost of chicken breast at SuperGrocery B, while the prices at SuperGrocery A are lower per pound. By using the equation and comparing the prices, we can make informed decisions about where to shop for the best deals.

Real-World Applications

The concept of comparing prices using equations is not limited to chicken breast. In the real world, consumers use similar techniques to compare prices of various products and services. By understanding the equations that represent the costs, consumers can make informed decisions about where to shop and how to save money.

Future Research Directions

Future research directions could include exploring other equations that represent the costs of various products and services. Additionally, researchers could investigate the impact of price comparisons on consumer behavior and decision-making.

References

[1] "Mathematics for Business and Economics" by James T. Bennett
[2] "Statistics for Business and Economics" by James T. Bennett

Appendix

The following appendix provides additional information and resources for further reading.

Appendix A: Additional Examples

Example 1: A store sells a product for $15 per unit. If the store offers a 10% discount, what is the new price per unit?
Example 2: A company has a budget of $100,000 to spend on advertising. If the company wants to allocate 20% of the budget to social media advertising, how much will be spent on social media advertising?

Appendix B: Resources

[1] "Mathematics for Business and Economics" by James T. Bennett
[2] "Statistics for Business and Economics" by James T. Bennett
[3] "Online Resources for Mathematics and Statistics" by [Author's Name]

Appendix C: Glossary

Equation: A mathematical statement that expresses the relationship between variables.
Variable: A value that can change or vary.
Constant: A value that remains the same.
Price comparison: The process of comparing prices of various products and services.
Frequently Asked Questions (FAQs) =====================================

Q: What is the equation for the total cost of chicken breast at SuperGrocery B?

A: The equation for the total cost of chicken breast at SuperGrocery B is $y = 11.38x$ , where $y$ represents the total cost in dollars and cents, and $x$ represents the weight of the chicken breast in pounds.

Q: How do I calculate the cost of chicken breast at SuperGrocery B for a given weight?

A: To calculate the cost of chicken breast at SuperGrocery B for a given weight, simply multiply the weight by the cost per pound, which is $11.38. For example, if you want to buy 2 pounds of chicken breast, the total cost would be $11.38 \times 2 = 22.76$ .

Q: How do I compare the prices of chicken breast at SuperGrocery A and SuperGrocery B?

A: To compare the prices of chicken breast at SuperGrocery A and SuperGrocery B, you need to calculate the cost per pound at both stores. At SuperGrocery A, the cost per pound is $10.71, while at SuperGrocery B, the cost per pound is $11.38. This means that SuperGrocery A is offering a lower price per pound of chicken breast.

Q: What is the cost per pound of chicken breast at SuperGrocery A?

A: The cost per pound of chicken breast at SuperGrocery A is $10.71.

Q: How do I calculate the cost per pound at SuperGrocery A?

A: To calculate the cost per pound at SuperGrocery A, simply divide the total cost by the weight of the chicken breast. For example, if 3 pounds of chicken breast cost $32.14, the cost per pound would be $32.14 ÷ 3 = 10.71$ .

Q: What is the total cost of 2 pounds of chicken breast at SuperGrocery B?

A: The total cost of 2 pounds of chicken breast at SuperGrocery B is $22.76.

Q: How do I use the equation to compare prices of different products?

A: The equation $y = 11.38x$ can be used to compare prices of different products by substituting the weight and cost per pound of the product into the equation. For example, if you want to compare the prices of chicken breast and beef, you can use the equation to calculate the total cost of each product for a given weight.

Q: What are some real-world applications of comparing prices using equations?

A: Some real-world applications of comparing prices using equations include:

Comparing prices of different products and services
Calculating the cost of goods sold
Determining the profitability of a product or service
Making informed decisions about where to shop and how to save money

Q: What are some future research directions for comparing prices using equations?

A: Some future research directions for comparing prices using equations include:

Exploring other equations that represent the costs of various products and services
Investigating the impact of price comparisons on consumer behavior and decision-making
Developing new methods for comparing prices using equations

Q: What resources are available for further reading on comparing prices using equations?

A: Some resources available for further reading on comparing prices using equations include:

"Mathematics for Business and Economics" by James T. Bennett
"Statistics for Business and Economics" by James T. Bennett
"Online Resources for Mathematics and Statistics" by [Author's Name]