We appreciate your visit to Which of the following situations could match this formula There may be more than one correct answer tex 500 100x tex A An object travels. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's go through the situations one by one to see which match the equation [tex]\(500 = 100x\)[/tex].
### Situation 1:
An object travels 500 feet for 100 seconds.
We can express this situation using the formula for distance:
[tex]\[ \text{distance} = \text{rate} \times \text{time} \][/tex]
In this case:
- The distance is 500 feet.
- The time is 100 seconds.
- The rate would be calculated as [tex]\( \frac{500 \text{ feet}}{100 \text{ seconds}} = 5 \text{ feet per second} \)[/tex].
Thus, this situation can be described by the equation [tex]\( 500 = 100 \times 5 \)[/tex], so it fits because the rate (5 feet per second) is what makes the equation true.
### Situation 2:
An object travels 500 miles at a rate of 100 miles per hour.
Here, we use the formula again:
[tex]\[ \text{distance} = \text{rate} \times \text{time} \][/tex]
In this case:
- The distance is 500 miles.
- The rate is 100 miles per hour.
- The time can be found by rearranging the formula to [tex]\( \text{time} = \frac{\text{distance}}{\text{rate}} = \frac{500 \text{ miles}}{100 \text{ miles per hour}} = 5 \text{ hours} \)[/tex].
So, the equation [tex]\( 500 = 100 \times 5 \)[/tex] holds true because the time (5 hours) is what makes the equation valid.
### Situation 3:
An object travels at 500 miles per hour for 100 hours.
We use the same formula:
[tex]\[ \text{distance} = \text{rate} \times \text{time} \][/tex]
Here:
- The rate is 500 miles per hour.
- The time is 100 hours.
- Thus, the distance is [tex]\( 500 \text{ miles per hour} \times 100 \text{ hours} = 50,000 \text{ miles} \)[/tex].
This situation does not fit [tex]\(500 = 100x\)[/tex] because the numbers produce a much larger distance (50,000) compared to 500.
### Situation 4:
An object travels 100 inches per minute for 500 minutes.
Using the formula again:
[tex]\[ \text{distance} = \text{rate} \times \text{time} \][/tex]
In this case:
- The rate is 100 inches per minute.
- The time is 500 minutes.
- The total distance is [tex]\( 100 \text{ inches per minute} \times 500 \text{ minutes} = 50,000 \text{ inches} \)[/tex].
This situation does not fit [tex]\(500 = 100x\)[/tex] either as it results in a total distance of 50,000 inches.
Therefore, the situations that match the formula [tex]\(500 = 100x\)[/tex] are Situation 1 and Situation 2.
### Situation 1:
An object travels 500 feet for 100 seconds.
We can express this situation using the formula for distance:
[tex]\[ \text{distance} = \text{rate} \times \text{time} \][/tex]
In this case:
- The distance is 500 feet.
- The time is 100 seconds.
- The rate would be calculated as [tex]\( \frac{500 \text{ feet}}{100 \text{ seconds}} = 5 \text{ feet per second} \)[/tex].
Thus, this situation can be described by the equation [tex]\( 500 = 100 \times 5 \)[/tex], so it fits because the rate (5 feet per second) is what makes the equation true.
### Situation 2:
An object travels 500 miles at a rate of 100 miles per hour.
Here, we use the formula again:
[tex]\[ \text{distance} = \text{rate} \times \text{time} \][/tex]
In this case:
- The distance is 500 miles.
- The rate is 100 miles per hour.
- The time can be found by rearranging the formula to [tex]\( \text{time} = \frac{\text{distance}}{\text{rate}} = \frac{500 \text{ miles}}{100 \text{ miles per hour}} = 5 \text{ hours} \)[/tex].
So, the equation [tex]\( 500 = 100 \times 5 \)[/tex] holds true because the time (5 hours) is what makes the equation valid.
### Situation 3:
An object travels at 500 miles per hour for 100 hours.
We use the same formula:
[tex]\[ \text{distance} = \text{rate} \times \text{time} \][/tex]
Here:
- The rate is 500 miles per hour.
- The time is 100 hours.
- Thus, the distance is [tex]\( 500 \text{ miles per hour} \times 100 \text{ hours} = 50,000 \text{ miles} \)[/tex].
This situation does not fit [tex]\(500 = 100x\)[/tex] because the numbers produce a much larger distance (50,000) compared to 500.
### Situation 4:
An object travels 100 inches per minute for 500 minutes.
Using the formula again:
[tex]\[ \text{distance} = \text{rate} \times \text{time} \][/tex]
In this case:
- The rate is 100 inches per minute.
- The time is 500 minutes.
- The total distance is [tex]\( 100 \text{ inches per minute} \times 500 \text{ minutes} = 50,000 \text{ inches} \)[/tex].
This situation does not fit [tex]\(500 = 100x\)[/tex] either as it results in a total distance of 50,000 inches.
Therefore, the situations that match the formula [tex]\(500 = 100x\)[/tex] are Situation 1 and Situation 2.
Thanks for taking the time to read Which of the following situations could match this formula There may be more than one correct answer tex 500 100x tex A An object travels. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
