The Cost Of A Keyboard \[$(k)\$\] Is \[$\$40\$\] Less Than The Cost Of A Printer \[$(p)\$\]. Which Of These Equations Could Model This Fact?A. \[$k - 40 = P\$\]B. \[$k = P - 40\$\]C. \[$k + P = 40\$\]D.

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The Cost of a Keyboard: Understanding the Relationship Between Keyboard and Printer Costs

When it comes to purchasing office equipment, the cost of a keyboard and a printer can be a significant factor in making a decision. In this article, we will explore the relationship between the cost of a keyboard and a printer, and examine which equation could model this fact.

The Problem

The cost of a keyboard {(k)$}$ is {$40$}$ less than the cost of a printer {(p)$}$. This means that if we know the cost of a printer, we can calculate the cost of a keyboard by subtracting {$40$}$ from the cost of the printer.

Modeling the Relationship

To model this relationship, we need to create an equation that represents the cost of a keyboard in terms of the cost of a printer. Let's examine the options:

Option A: {k - 40 = p$}$

This equation states that the cost of a keyboard minus {$40$}$ is equal to the cost of a printer. However, this equation does not accurately represent the relationship between the cost of a keyboard and a printer. If we know the cost of a printer, we cannot simply subtract {$40$}$ from it to get the cost of a keyboard.

Option B: {k = p - 40$}$

This equation states that the cost of a keyboard is equal to the cost of a printer minus {$40$}$. This equation accurately represents the relationship between the cost of a keyboard and a printer. If we know the cost of a printer, we can subtract {$40$}$ from it to get the cost of a keyboard.

Option C: {k + p = 40$}$

This equation states that the cost of a keyboard plus the cost of a printer is equal to {$40$}$. This equation does not accurately represent the relationship between the cost of a keyboard and a printer. The cost of a keyboard is not related to the cost of a printer in this way.

Option D: {k - p = 40$}$

This equation states that the cost of a keyboard minus the cost of a printer is equal to {$40$}$. This equation does not accurately represent the relationship between the cost of a keyboard and a printer. The cost of a keyboard is not related to the cost of a printer in this way.

Conclusion

In conclusion, the equation that models the relationship between the cost of a keyboard and a printer is {k = p - 40$}$. This equation accurately represents the fact that the cost of a keyboard is {$40$}$ less than the cost of a printer.

Key Takeaways

  • The cost of a keyboard is {$40$}$ less than the cost of a printer.
  • The equation {k = p - 40$}$ accurately models the relationship between the cost of a keyboard and a printer.
  • The cost of a keyboard can be calculated by subtracting {$40$}$ from the cost of a printer.

Real-World Applications

Understanding the relationship between the cost of a keyboard and a printer can be useful in a variety of real-world scenarios. For example, a business may need to purchase a large number of keyboards and printers for their employees. By understanding the cost relationship between these two items, the business can make informed decisions about their purchasing needs.

Final Thoughts

In conclusion, the cost of a keyboard is {$40$}$ less than the cost of a printer. The equation {k = p - 40$}$ accurately models this relationship. By understanding this relationship, individuals and businesses can make informed decisions about their purchasing needs.
The Cost of a Keyboard: A Q&A Guide

In our previous article, we explored the relationship between the cost of a keyboard and a printer. We examined the equation {k = p - 40$}$ and how it accurately models the fact that the cost of a keyboard is {$40$}$ less than the cost of a printer. In this article, we will answer some frequently asked questions about the cost of a keyboard and provide additional insights into this topic.

Q: What is the cost of a keyboard in terms of the cost of a printer?

A: The cost of a keyboard is {$40$}$ less than the cost of a printer. This means that if we know the cost of a printer, we can calculate the cost of a keyboard by subtracting {$40$}$ from the cost of the printer.

Q: How do I calculate the cost of a keyboard if I know the cost of a printer?

A: To calculate the cost of a keyboard, simply subtract {$40$}$ from the cost of the printer. For example, if the cost of a printer is {$100$}$, the cost of a keyboard would be {$100 - $40 = $60$}$.

Q: What if I want to calculate the cost of a printer if I know the cost of a keyboard?

A: To calculate the cost of a printer, simply add {$40$}$ to the cost of the keyboard. For example, if the cost of a keyboard is {$60$}$, the cost of a printer would be {$60 + $40 = $100$}$.

Q: Can I use the equation {k = p - 40$}$ to calculate the cost of a keyboard and a printer at the same time?

A: Yes, you can use the equation {k = p - 40$}$ to calculate the cost of a keyboard and a printer at the same time. For example, if the cost of a printer is {$100$}$ and the cost of a keyboard is {$60$}$, we can use the equation to verify that the cost of a keyboard is {$40$}$ less than the cost of a printer.

Q: What if I want to calculate the cost of a keyboard and a printer for a large number of items?

A: To calculate the cost of a keyboard and a printer for a large number of items, you can use the equation {k = p - 40$}$ and multiply the result by the number of items. For example, if you want to calculate the cost of 10 keyboards and 10 printers, you can use the equation to calculate the cost of one keyboard and one printer, and then multiply the result by 10.

Q: Can I use the equation {k = p - 40$}$ to calculate the cost of other office equipment?

A: While the equation {k = p - 40$}$ is specific to the cost of a keyboard and a printer, you can use similar equations to calculate the cost of other office equipment. For example, if you know the cost of a mouse and a monitor, you can use an equation like {m = o - 20$}$ to calculate the cost of a mouse in terms of the cost of a monitor.

Conclusion

In conclusion, the cost of a keyboard is {$40$}$ less than the cost of a printer. The equation {k = p - 40$}$ accurately models this relationship and can be used to calculate the cost of a keyboard and a printer. By understanding this relationship, individuals and businesses can make informed decisions about their purchasing needs.

Key Takeaways

  • The cost of a keyboard is {$40$}$ less than the cost of a printer.
  • The equation {k = p - 40$}$ accurately models the relationship between the cost of a keyboard and a printer.
  • The cost of a keyboard can be calculated by subtracting {$40$}$ from the cost of a printer.
  • The cost of a printer can be calculated by adding {$40$}$ to the cost of a keyboard.

Real-World Applications

Understanding the relationship between the cost of a keyboard and a printer can be useful in a variety of real-world scenarios. For example, a business may need to purchase a large number of keyboards and printers for their employees. By understanding the cost relationship between these two items, the business can make informed decisions about their purchasing needs.

Final Thoughts

In conclusion, the cost of a keyboard is {$40$}$ less than the cost of a printer. The equation {k = p - 40$}$ accurately models this relationship and can be used to calculate the cost of a keyboard and a printer. By understanding this relationship, individuals and businesses can make informed decisions about their purchasing needs.