A Giraffe Runs At A Rate Of 32 Miles Per Hour. Which Equation Models The Situation?- $h =$ Time Spent Running, In Hours- $d =$ Distance Run In MilesChoose The Correct Equation:A. $32h = D$B. $32d = H$C. $h = 32 +
Introduction
In this article, we will explore the relationship between the speed of a giraffe and the distance it covers in a given time. We will use the concept of rate and time to determine the correct equation that models the situation. The main objective is to understand how the speed of the giraffe affects the distance it runs in a specific time frame.
Understanding the Problem
The problem states that a giraffe runs at a rate of 32 miles per hour. This means that the giraffe covers a distance of 32 miles in one hour. We are asked to choose the correct equation that models this situation. To do this, we need to understand the relationship between the speed of the giraffe, the time it spends running, and the distance it covers.
Rate and Time
Rate and time are two fundamental concepts in mathematics that are used to describe the relationship between the speed of an object and the distance it covers. The rate of an object is the distance it covers per unit of time. In this case, the rate of the giraffe is 32 miles per hour, which means it covers 32 miles in one hour.
Distance, Rate, and Time
The distance an object covers is directly proportional to its rate and the time it spends moving. This can be represented by the equation:
Distance = Rate x Time
In this case, the distance the giraffe covers is equal to its rate (32 miles per hour) multiplied by the time it spends running (h hours). Therefore, the correct equation that models the situation is:
d = 32h
Choosing the Correct Equation
Now that we have understood the relationship between the speed of the giraffe, the time it spends running, and the distance it covers, we can choose the correct equation that models the situation. The correct equation is:
d = 32h
This equation represents the relationship between the distance the giraffe covers and the time it spends running. It shows that the distance the giraffe covers is directly proportional to its rate and the time it spends running.
Conclusion
In conclusion, the correct equation that models the situation is:
d = 32h
This equation represents the relationship between the distance the giraffe covers and the time it spends running. It shows that the distance the giraffe covers is directly proportional to its rate and the time it spends running. We can use this equation to calculate the distance the giraffe covers in a given time frame, given its rate and the time it spends running.
Discussion
A.
This equation is incorrect because it implies that the rate of the giraffe is equal to the distance it covers, which is not true. The rate of the giraffe is 32 miles per hour, and the distance it covers is equal to its rate multiplied by the time it spends running.
B.
This equation is also incorrect because it implies that the rate of the giraffe is equal to the time it spends running, which is not true. The rate of the giraffe is 32 miles per hour, and the time it spends running is equal to the distance it covers divided by its rate.
C.
This equation is incorrect because it implies that the time the giraffe spends running is equal to its rate plus the distance it covers, which is not true. The time the giraffe spends running is equal to the distance it covers divided by its rate.
Final Answer
The correct equation that models the situation is:
d = 32h
This equation represents the relationship between the distance the giraffe covers and the time it spends running. It shows that the distance the giraffe covers is directly proportional to its rate and the time it spends running.
Introduction
In our previous article, we explored the relationship between the speed of a giraffe and the distance it covers in a given time. We used the concept of rate and time to determine the correct equation that models the situation. In this article, we will answer some frequently asked questions related to the topic.
Q&A
Q: What is the rate of the giraffe?
A: The rate of the giraffe is 32 miles per hour. This means that the giraffe covers a distance of 32 miles in one hour.
Q: What is the equation that models the situation?
A: The correct equation that models the situation is:
d = 32h
This equation represents the relationship between the distance the giraffe covers and the time it spends running. It shows that the distance the giraffe covers is directly proportional to its rate and the time it spends running.
Q: What is the relationship between the rate of the giraffe and the distance it covers?
A: The rate of the giraffe is directly proportional to the distance it covers. This means that if the rate of the giraffe increases, the distance it covers will also increase.
Q: What is the relationship between the time the giraffe spends running and the distance it covers?
A: The time the giraffe spends running is directly proportional to the distance it covers. This means that if the time the giraffe spends running increases, the distance it covers will also increase.
Q: Can the equation d = 32h be used to calculate the distance the giraffe covers in a given time frame?
A: Yes, the equation d = 32h can be used to calculate the distance the giraffe covers in a given time frame. To do this, you need to know the rate of the giraffe (32 miles per hour) and the time it spends running (h hours).
Q: What is the unit of measurement for the rate of the giraffe?
A: The unit of measurement for the rate of the giraffe is miles per hour (mph).
Q: What is the unit of measurement for the distance the giraffe covers?
A: The unit of measurement for the distance the giraffe covers is miles (mi).
Q: What is the unit of measurement for the time the giraffe spends running?
A: The unit of measurement for the time the giraffe spends running is hours (h).
Q: Can the equation d = 32h be used to calculate the time the giraffe spends running in a given distance?
A: No, the equation d = 32h cannot be used to calculate the time the giraffe spends running in a given distance. To do this, you need to use the equation h = d/32.
Q: What is the equation that represents the relationship between the time the giraffe spends running and the distance it covers?
A: The equation that represents the relationship between the time the giraffe spends running and the distance it covers is:
h = d/32
This equation shows that the time the giraffe spends running is equal to the distance it covers divided by its rate.
Conclusion
In conclusion, we have answered some frequently asked questions related to the topic of a giraffe running at a rate of 32 miles per hour. We have used the concept of rate and time to determine the correct equation that models the situation and to answer the questions. We hope that this article has been helpful in understanding the relationship between the speed of a giraffe and the distance it covers in a given time.