The Nash Family Spent A Total Of $ 240 \$240 $240 On A Hotel Room For 3 Nights. Which Equation Can Be Used To Find C C C , The Average Cost Per Night For The Hotel Room?A. C × 240 = 3 C \times 240 = 3 C × 240 = 3 B. C + 240 = 3 C + 240 = 3 C + 240 = 3 C. $240 \times 3 =

Introduction

When it comes to planning a trip, one of the most important factors to consider is the cost of accommodations. In this scenario, the Nash family spent a total of $\$240$ on a hotel room for 3 nights. The question arises: what is the average cost per night for the hotel room? To find this answer, we need to create an equation that represents the situation. In this article, we will explore the different options and determine which equation can be used to find $c$, the average cost per night for the hotel room.

Understanding the Problem

The problem states that the Nash family spent a total of $\$240$ on a hotel room for 3 nights. To find the average cost per night, we need to divide the total cost by the number of nights. This can be represented by the equation:

$$\text{Average cost per night} = \frac{\text{Total cost}}{\text{Number of nights}}$$

In this case, the total cost is $\$240$ and the number of nights is 3.

Analyzing the Options

Let's analyze the options provided:

A. $c \times 240 = 3$

This option suggests that the average cost per night ($c$) multiplied by the total cost ($240$) equals 3. However, this equation does not make sense in the context of the problem. The average cost per night is not a factor of the total cost, but rather a result of dividing the total cost by the number of nights.

B. $c + 240 = 3$

This option suggests that the average cost per night ($c$) added to the total cost ($240$) equals 3. However, this equation also does not make sense in the context of the problem. The average cost per night is not a sum of the total cost, but rather a result of dividing the total cost by the number of nights.

C. $240 \times 3 = c$

This option suggests that the total cost ($240$) multiplied by the number of nights (3) equals the average cost per night ($c$). However, this equation is actually the opposite of what we are looking for. We want to find the average cost per night, not the total cost multiplied by the number of nights.

The Correct Equation

The correct equation to find the average cost per night is:

$$c = \frac{240}{3}$$

This equation represents the situation by dividing the total cost ($240$) by the number of nights (3) to find the average cost per night ($c$).

Conclusion

In conclusion, the correct equation to find the average cost per night for the hotel room is $c = \frac{240}{3}$. This equation represents the situation by dividing the total cost by the number of nights to find the average cost per night. The other options provided do not make sense in the context of the problem and should be avoided.

Average Cost per Night Calculation

To calculate the average cost per night, we can plug in the values into the correct equation:

$$c = \frac{240}{3}$$

$$c = 80$$

Therefore, the average cost per night for the hotel room is $\$80$.

Real-World Applications

Understanding how to calculate the average cost per night is an important skill in real-world applications. For example, when planning a trip, it's essential to know the average cost per night to budget accordingly. This skill can also be applied to other situations, such as calculating the average cost of a product or service over a period of time.

Final Thoughts

Introduction

In our previous article, we explored the Nash family's hotel room conundrum and determined the correct equation to find the average cost per night. However, we received many questions from readers who wanted further clarification on the topic. In this article, we will address some of the most frequently asked questions and provide additional insights to help you better understand the concept.

Q&A

Q: What is the average cost per night, and why is it important?

A: The average cost per night is the total cost of a hotel room or other accommodation divided by the number of nights. It's essential to know the average cost per night to budget accordingly and make informed decisions when planning a trip.

Q: How do I calculate the average cost per night?

A: To calculate the average cost per night, you need to divide the total cost by the number of nights. For example, if the total cost is $\$240$ and the number of nights is 3, the average cost per night would be $\$80$.

Q: What if I have a different number of nights? How do I adjust the equation?

A: If you have a different number of nights, you can adjust the equation by dividing the total cost by the new number of nights. For example, if the total cost is still $\$240$ but the number of nights is 5, the average cost per night would be $\$48$.

Q: Can I use this equation for other types of expenses, such as food or transportation?

A: Yes, you can use this equation to calculate the average cost of other types of expenses, such as food or transportation. However, you need to ensure that the total cost and number of nights or days are accurate and relevant to the specific expense.

Q: What if I have a discount or promotion? How do I factor that into the equation?

A: If you have a discount or promotion, you can factor that into the equation by subtracting the discount amount from the total cost. For example, if the total cost is $\$240$ and you have a 10% discount, the discounted total cost would be $\$216$, and the average cost per night would be $\$72$.

Q: Can I use this equation for a group of people or a large family?

A: Yes, you can use this equation to calculate the average cost per night for a group of people or a large family. However, you need to ensure that the total cost and number of nights or days are accurate and relevant to the specific group or family.

Q: What if I have a different type of accommodation, such as a hostel or Airbnb?

A: While the equation remains the same, you may need to adjust the total cost and number of nights or days to reflect the specific accommodation type. For example, if you're staying in a hostel, you may need to consider the cost of shared facilities or amenities.

Conclusion

In conclusion, the Nash family's hotel room conundrum is a classic example of how to calculate the average cost per night. By understanding the concept and addressing common questions, you can make informed decisions when planning a trip or budgeting for other expenses. Remember to always use the correct equation and adjust for any discounts, promotions, or other factors that may affect the total cost.

Additional Tips

• Always double-check the total cost and number of nights or days to ensure accuracy.
• Consider any additional expenses, such as taxes or fees, when calculating the average cost per night.
• Use this equation to calculate the average cost of other types of expenses, such as food or transportation.
• Adjust the equation to reflect any discounts, promotions, or other factors that may affect the total cost.

Final Thoughts

In conclusion, the Nash family's hotel room conundrum is a simple yet effective way to calculate the average cost per night. By understanding the concept and addressing common questions, you can make informed decisions when planning a trip or budgeting for other expenses. Remember to always use the correct equation and adjust for any factors that may affect the total cost.