Complete The Table.$\[ \begin{tabular}{|l|l|c|c|c|} \hline Time (seconds), $t$ & 0 & 2 & 4 & 6 \\ \hline Distance (feet), $d$ & 0 & 22 & 44 & 66 \\ \hline \end{tabular} \\]How Does The Distance Of The Mouse Change Every 2 Seconds?Every 2

Feb 27, 2025 by ADMIN 238 views

**Understanding the Relationship Between Time and Distance**

Introduction

In this article, we will explore the relationship between time and distance, specifically in the context of a mouse moving at a constant rate. We will examine a table that provides data on the distance traveled by the mouse at different time intervals and discuss how the distance changes every 2 seconds.

The Table

The table below shows the distance traveled by the mouse at different time intervals:

Time (seconds), $t$	0	2	4	6
Distance (feet), $d$	0	22	44	66

Analyzing the Data

From the table, we can see that the distance traveled by the mouse increases by 22 feet every 2 seconds. This suggests that the mouse is moving at a constant rate, covering a distance of 22 feet every 2 seconds.

Calculating the Rate

To calculate the rate at which the mouse is moving, we can use the formula:

Rate = Distance / Time

In this case, the distance is 22 feet and the time is 2 seconds. Therefore, the rate at which the mouse is moving is:

Rate = 22 feet / 2 seconds = 11 feet/second

Understanding the Relationship Between Time and Distance

Now that we have calculated the rate at which the mouse is moving, we can understand the relationship between time and distance. The table shows that the distance traveled by the mouse increases by 22 feet every 2 seconds. This means that for every 2 seconds that pass, the mouse travels an additional 22 feet.

Calculating the Distance at Different Time Intervals

Using the rate at which the mouse is moving, we can calculate the distance traveled by the mouse at different time intervals. For example, if the mouse is moving at a rate of 11 feet/second, then the distance traveled by the mouse in 4 seconds would be:

Distance = Rate x Time = 11 feet/second x 4 seconds = 44 feet

Similarly, if the mouse is moving at a rate of 11 feet/second, then the distance traveled by the mouse in 6 seconds would be:

Distance = Rate x Time = 11 feet/second x 6 seconds = 66 feet

Conclusion

In conclusion, the table shows that the distance traveled by the mouse increases by 22 feet every 2 seconds. This means that the mouse is moving at a constant rate, covering a distance of 22 feet every 2 seconds. We can use the rate at which the mouse is moving to calculate the distance traveled by the mouse at different time intervals.

Frequently Asked Questions

Q: How does the distance of the mouse change every 2 seconds? A: The distance of the mouse increases by 22 feet every 2 seconds.
Q: What is the rate at which the mouse is moving? A: The rate at which the mouse is moving is 11 feet/second.
Q: How can we calculate the distance traveled by the mouse at different time intervals? A: We can use the rate at which the mouse is moving to calculate the distance traveled by the mouse at different time intervals.

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Introduction

In our previous article, we explored the relationship between time and distance, specifically in the context of a mouse moving at a constant rate. We analyzed a table that provided data on the distance traveled by the mouse at different time intervals and discussed how the distance changes every 2 seconds. In this article, we will answer some frequently asked questions related to this topic.

Q: What is the relationship between time and distance?

A: The relationship between time and distance is that the distance traveled by an object increases as time passes. In the case of the mouse, the distance traveled by the mouse increases by 22 feet every 2 seconds.

Q: How does the distance of the mouse change every 2 seconds?

A: The distance of the mouse increases by 22 feet every 2 seconds.

Q: What is the rate at which the mouse is moving?

A: The rate at which the mouse is moving is 11 feet/second.

Q: How can we calculate the distance traveled by the mouse at different time intervals?

A: We can use the rate at which the mouse is moving to calculate the distance traveled by the mouse at different time intervals. For example, if the mouse is moving at a rate of 11 feet/second, then the distance traveled by the mouse in 4 seconds would be:

Distance = Rate x Time = 11 feet/second x 4 seconds = 44 feet

Q: What is the formula for calculating the rate at which an object is moving?

A: The formula for calculating the rate at which an object is moving is:

Rate = Distance / Time

Q: How can we use the rate at which an object is moving to calculate the distance traveled by the object at different time intervals?

A: We can use the rate at which an object is moving to calculate the distance traveled by the object at different time intervals by multiplying the rate by the time. For example, if the rate at which an object is moving is 10 feet/second and the time is 5 seconds, then the distance traveled by the object would be:

Distance = Rate x Time = 10 feet/second x 5 seconds = 50 feet

Q: What are some real-world applications of understanding the relationship between time and distance?

A: Understanding the relationship between time and distance has many real-world applications, such as:

Calculating the time it takes to travel a certain distance
Determining the distance traveled by an object in a given time
Planning routes for transportation
Calculating the time it takes to complete a task

Q: How can we use the relationship between time and distance to solve problems in real-world scenarios?

A: We can use the relationship between time and distance to solve problems in real-world scenarios by applying the formulas and concepts discussed in this article. For example, if we need to calculate the time it takes to travel a certain distance, we can use the formula:

Time = Distance / Rate