Select The Correct Answer From Each Drop-down Menu.Tony Writes An Equation To Represent The Distance He Walks In Meters, D D D , In Relation To The Number Of Minutes He Walks, M M M . ${ D = 108m }$Mark Has Created A Table To

Introduction

When it comes to understanding the relationship between distance and time, it's essential to have a clear equation that represents the distance traveled in relation to the time taken. In this scenario, Tony has written an equation to represent the distance he walks in meters, $d$, in relation to the number of minutes he walks, $m$. The equation is given as $d = 108m$. This equation implies that for every minute Tony walks, he covers a distance of 108 meters.

Analyzing the Equation

Let's analyze the equation $d = 108m$ to understand its implications. The equation states that the distance traveled, $d$, is directly proportional to the number of minutes walked, $m$. This means that if Tony walks for a longer period, the distance he covers will also increase proportionally. For instance, if Tony walks for 2 minutes, the distance he covers will be $2 \times 108 = 216$ meters.

Understanding the Concept of Proportionality

The concept of proportionality is a fundamental idea in mathematics that helps us understand the relationship between two variables. In this case, the equation $d = 108m$ represents a direct proportionality between the distance traveled and the number of minutes walked. This means that if we double the number of minutes walked, the distance traveled will also double.

Mark's Table

Mark has created a table to represent the distance traveled by Tony for different time intervals. The table is given below:

Time (minutes)	Distance (meters)
1	108
2	216
3	324
4	432
5	540

Selecting the Correct Answer

Based on the equation $d = 108m$ and Mark's table, we need to select the correct answer from each drop-down menu. The drop-down menus are given below:

Drop-down menu 1: What is the distance traveled by Tony in meters if he walks for 3 minutes?

• 108
• 216
• 324
• 432

Drop-down menu 2: What is the time taken by Tony to cover a distance of 540 meters?

• 1 minute
• 2 minutes
• 3 minutes
• 4 minutes

Solving the Problems

To solve the problems, we need to use the equation $d = 108m$ and Mark's table.

Problem 1: What is the distance traveled by Tony in meters if he walks for 3 minutes?

Using the equation $d = 108m$, we can substitute $m = 3$ to get:

$d = 108 \times 3$ $d = 324$

Therefore, the correct answer is:

• 324

Problem 2: What is the time taken by Tony to cover a distance of 540 meters?

Using Mark's table, we can see that the distance traveled by Tony for 5 minutes is 540 meters. Therefore, the correct answer is:

• 5 minutes

Conclusion

In conclusion, the equation $d = 108m$ represents the distance traveled by Tony in meters in relation to the number of minutes he walks. Mark's table provides a visual representation of the distance traveled by Tony for different time intervals. By using the equation and Mark's table, we can select the correct answer from each drop-down menu.

Key Takeaways

• The equation $d = 108m$ represents the distance traveled by Tony in meters in relation to the number of minutes he walks.
• Mark's table provides a visual representation of the distance traveled by Tony for different time intervals.
• The concept of proportionality is a fundamental idea in mathematics that helps us understand the relationship between two variables.

Further Reading

For further reading on the topic of distance and time, we recommend the following resources:

• Khan Academy: Distance and Time
• Math Is Fun: Distance and Time
• IXL: Distance and Time

Practice Problems

To practice what you have learned, we recommend the following problems:

• What is the distance traveled by Tony in meters if he walks for 4 minutes?
• What is the time taken by Tony to cover a distance of 432 meters?

Answer Key

• Problem 1: 432
• Problem 2: 4 minutes
  

Introduction

In our previous article, we discussed the equation $d = 108m$ and Mark's table to understand the relationship between distance and time. In this article, we will answer some frequently asked questions (FAQs) on distance and time to help you better understand the concept.

Q&A

Q1: What is the distance traveled by Tony in meters if he walks for 2 minutes?

A1: Using the equation $d = 108m$, we can substitute $m = 2$ to get:

$d = 108 \times 2$ $d = 216$

Therefore, the distance traveled by Tony in meters if he walks for 2 minutes is 216 meters.

Q2: What is the time taken by Tony to cover a distance of 324 meters?

A2: Using Mark's table, we can see that the distance traveled by Tony for 3 minutes is 324 meters. Therefore, the time taken by Tony to cover a distance of 324 meters is 3 minutes.

Q3: What is the relationship between distance and time?

A3: The relationship between distance and time is one of direct proportionality. This means that if we double the time taken, the distance traveled will also double.

Q4: How can we use the equation $d = 108m$ to find the distance traveled by Tony?

A4: We can use the equation $d = 108m$ by substituting the value of $m$ (the number of minutes walked) to find the distance traveled by Tony.

Q5: What is the significance of Mark's table in understanding the relationship between distance and time?

A5: Mark's table provides a visual representation of the distance traveled by Tony for different time intervals. This helps us to understand the relationship between distance and time and to see how the distance traveled changes as the time taken increases.

Q6: Can we use the equation $d = 108m$ to find the time taken by Tony to cover a certain distance?

A6: Yes, we can use the equation $d = 108m$ to find the time taken by Tony to cover a certain distance. We can rearrange the equation to solve for $m$ (the number of minutes walked).

Q7: What is the difference between distance and time?

A7: Distance is a measure of how far an object has traveled, while time is a measure of how long it has taken to travel that distance.

Q8: How can we use the concept of proportionality to understand the relationship between distance and time?

A8: We can use the concept of proportionality to understand the relationship between distance and time by recognizing that if we double the time taken, the distance traveled will also double.

Conclusion

In conclusion, the equation $d = 108m$ and Mark's table provide a clear understanding of the relationship between distance and time. By answering these frequently asked questions (FAQs), we hope to have provided you with a better understanding of the concept.

Key Takeaways

• The equation $d = 108m$ represents the distance traveled by Tony in meters in relation to the number of minutes he walks.
• Mark's table provides a visual representation of the distance traveled by Tony for different time intervals.
• The concept of proportionality is a fundamental idea in mathematics that helps us understand the relationship between two variables.

Further Reading

For further reading on the topic of distance and time, we recommend the following resources:

• Khan Academy: Distance and Time
• Math Is Fun: Distance and Time
• IXL: Distance and Time

Practice Problems

To practice what you have learned, we recommend the following problems:

• What is the distance traveled by Tony in meters if he walks for 5 minutes?
• What is the time taken by Tony to cover a distance of 540 meters?

Answer Key

• Problem 1: 540
• Problem 2: 5 minutes