The Time Spent Dancing (minutes) And The Amount Of Calories Burned Can Be Modeled By The Equation C = 5.5 T C = 5.5t C = 5.5 T . Which Table Of Values Matches The Equation And Includes Only Viable Solutions?$[ \begin{tabular}{|c|c|} \hline \text{Time } (t)

Introduction

Dancing is a fun and engaging way to stay physically active and burn calories. The amount of calories burned while dancing depends on the duration of the dance session. In this article, we will explore a mathematical model that describes the relationship between the time spent dancing and the amount of calories burned.

The Mathematical Model

The equation $c = 5.5t$ models the relationship between the time spent dancing (in minutes) and the amount of calories burned. Here, $c$ represents the number of calories burned and $t$ represents the time spent dancing in minutes.

Understanding the Equation

To understand the equation, let's break it down:

• The equation is a linear equation, which means that the relationship between the variables is a straight line.
• The coefficient of $t$ is 5.5, which means that for every minute of dancing, 5.5 calories are burned.
• The equation is in the form $c = mt$, where $m$ is the slope of the line and $t$ is the independent variable.

Creating a Table of Values

To create a table of values that matches the equation, we need to find the values of $c$ and $t$ that satisfy the equation. We can do this by plugging in different values of $t$ and solving for $c$.

Time (t)	Calories Burned (c)
0	0
10	55
20	110
30	165
40	220
50	275
60	330

Analyzing the Table of Values

The table of values shows that for every 10 minutes of dancing, 55 calories are burned. This is consistent with the equation $c = 5.5t$. The table also shows that the number of calories burned increases linearly with the time spent dancing.

Viable Solutions

A viable solution is a solution that makes sense in the context of the problem. In this case, a viable solution is a solution where the time spent dancing is positive and the number of calories burned is also positive.

From the table of values, we can see that the viable solutions are:

Time (t)	Calories Burned (c)
10	55
20	110
30	165
40	220
50	275
60	330

These solutions make sense because they represent a positive time spent dancing and a positive number of calories burned.

Conclusion

In conclusion, the equation $c = 5.5t$ models the relationship between the time spent dancing and the amount of calories burned. The table of values that matches the equation and includes only viable solutions is:

Time (t)	Calories Burned (c)
10	55
20	110
30	165
40	220
50	275
60	330

This table shows that for every 10 minutes of dancing, 55 calories are burned, and the number of calories burned increases linearly with the time spent dancing.

References

• [1] "Calories Burned Dancing" by Healthline
• [2] "Dancing and Calories Burned" by American Council on Exercise (ACE)

Note

Introduction

In our previous article, we explored the mathematical model that describes the relationship between the time spent dancing and the amount of calories burned. In this article, we will answer some frequently asked questions about dancing and calories burned.

Q&A

Q: How many calories are burned while dancing for 30 minutes?

A: According to the equation $c = 5.5t$, where $c$ is the number of calories burned and $t$ is the time spent dancing in minutes, the number of calories burned while dancing for 30 minutes is:

$c = 5.5 \times 30 = 165$

So, 165 calories are burned while dancing for 30 minutes.

Q: How does the intensity of the dance affect the number of calories burned?

A: The intensity of the dance can affect the number of calories burned. For example, a high-intensity dance like salsa or hip hop may burn more calories than a low-intensity dance like waltz or foxtrot.

However, the equation $c = 5.5t$ assumes a constant intensity of dance. If the intensity of the dance varies, the actual number of calories burned may be different from the predicted value.

Q: Can I burn calories while dancing at home?

A: Yes, you can burn calories while dancing at home. In fact, dancing at home can be a convenient and fun way to stay physically active and burn calories.

To burn calories while dancing at home, you can try the following:

• Put on some upbeat music and dance for at least 30 minutes.
• Incorporate high-intensity dance moves like jumping jacks or burpees.
• Use a dance workout video or app to guide you through a dance routine.

Q: How often should I dance to burn calories?

A: The frequency of dancing depends on your fitness goals and schedule. If you want to burn calories regularly, you can try to dance at least 3-4 times a week.

However, if you're just starting out, you may want to start with shorter dance sessions (20-30 minutes) and gradually increase the duration and frequency as you become more comfortable.

Q: Can I burn calories while dancing with a partner?

A: Yes, you can burn calories while dancing with a partner. In fact, dancing with a partner can be a fun and social way to stay physically active and burn calories.

To burn calories while dancing with a partner, you can try the following:

• Take a dance class together, such as salsa or swing dancing.
• Practice dance moves together, such as waltz or tango.
• Use a dance workout video or app that includes partner dance routines.

Q: How can I track my calorie burn while dancing?

A: There are several ways to track your calorie burn while dancing, including:

• Using a fitness tracker or smartwatch that tracks your calorie burn.
• Using a dance workout app that tracks your calorie burn.
• Estimating your calorie burn based on your weight, age, and activity level.

Conclusion

In conclusion, dancing is a fun and effective way to burn calories and stay physically active. By understanding the mathematical model that describes the relationship between the time spent dancing and the amount of calories burned, you can make informed decisions about your dance routine and track your progress.

References

• [1] "Calories Burned Dancing" by Healthline
• [2] "Dancing and Calories Burned" by American Council on Exercise (ACE)
• [3] "Dance Workout Apps" by Fitbit

Note

This article is for informational purposes only and should not be used as a substitute for professional advice. If you have any questions or concerns about dancing or calories burned, please consult a healthcare professional.