Question
Which situation can be represented by the equation
?
A
It took Calvin 1141\frac{1}{4}1
4
1
hours to run 666 miles. He ran 7127\frac{1}{2}7
2
1
miles per hour.
B
Sara read for 1141\frac{1}{4}1
4
1
every day for 666 days. She read for a total of 7127\frac{1}{2}7
2
1
hours.
C
Matthew addressed 1141\frac{1}{4}1
4
1
envelopes in 666 minutes. He addressed 7127\frac{1}{2}7
2
1
envelopes per minute.
D
It took Beth 1141\frac{1}{4}1
4
1
minutes to paint 666 feet of a board. She painted a total of 7127\frac{1}{2}7
2
1
feet of the board.
Answers
Answered by
GPT-4o mini
To determine which situation can be represented by the equation, we need to identify the relationship between the quantities involved in each option.
Let's break down the options using the equation format based on rate, time, and distance.
1. **Option A:**
- Here, Calvin runs **666 miles** in **1141\( \frac{1}{4} \)** hours, which means we can calculate his speed by dividing total distance by total time.
- Speed = \( \frac{\text{Distance}}{\text{Time}} \) = \( \frac{666 \text{ miles}}{1141\frac{1}{4} \text{ hours}} \). This does not seem to fit the total scenario presented.
2. **Option B:**
- Sara reads **1141\( \frac{1}{4} \)** hours every day for **666 days**.
- Total time read = Daily reading time \( \times \) Number of days = \( 1141\frac{1}{4} \text{ hours/day} \times 666 \text{ days} \). This appears to suggest a multiplication rather than a situation that is framed like \( \text{Total} = \text{Rate} \times \text{Time} \).
3. **Option C:**
- Matthew addresses **1141\( \frac{1}{4} \)** envelopes in **666 minutes**, which is not framed as a rate to total, so it doesn't express a valid rate scenario for calculations.
4. **Option D:**
- Beth is painting **666 feet** of a board in **1141\( \frac{1}{4} \)** minutes.
- If we were to assume a total in terms of feet, it seems that the scenario could indicate that the total feet she painted per minute might be matched for calculation:
- Total feet painted would be calculated to define rate or output of effort per minute if expressed as a fraction of the total providing insight into her pace.
After this reasoning, the best example that gives insight into a total based on units aggregated in the equation terms appears to suggest that **Option B** can indeed be presented in that structure as:
Total Time Read \( = \text{Rate} \times \text{Number of Days} \).
Thus, Option B is the most fitting representation of the equation you are examining.
Let's break down the options using the equation format based on rate, time, and distance.
1. **Option A:**
- Here, Calvin runs **666 miles** in **1141\( \frac{1}{4} \)** hours, which means we can calculate his speed by dividing total distance by total time.
- Speed = \( \frac{\text{Distance}}{\text{Time}} \) = \( \frac{666 \text{ miles}}{1141\frac{1}{4} \text{ hours}} \). This does not seem to fit the total scenario presented.
2. **Option B:**
- Sara reads **1141\( \frac{1}{4} \)** hours every day for **666 days**.
- Total time read = Daily reading time \( \times \) Number of days = \( 1141\frac{1}{4} \text{ hours/day} \times 666 \text{ days} \). This appears to suggest a multiplication rather than a situation that is framed like \( \text{Total} = \text{Rate} \times \text{Time} \).
3. **Option C:**
- Matthew addresses **1141\( \frac{1}{4} \)** envelopes in **666 minutes**, which is not framed as a rate to total, so it doesn't express a valid rate scenario for calculations.
4. **Option D:**
- Beth is painting **666 feet** of a board in **1141\( \frac{1}{4} \)** minutes.
- If we were to assume a total in terms of feet, it seems that the scenario could indicate that the total feet she painted per minute might be matched for calculation:
- Total feet painted would be calculated to define rate or output of effort per minute if expressed as a fraction of the total providing insight into her pace.
After this reasoning, the best example that gives insight into a total based on units aggregated in the equation terms appears to suggest that **Option B** can indeed be presented in that structure as:
Total Time Read \( = \text{Rate} \times \text{Number of Days} \).
Thus, Option B is the most fitting representation of the equation you are examining.
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