The Table Shows The Highest And Lowest Recorded Temperatures For 5 Consecutive Months. Which Months Had Temperature Differences That Were Less Than Half The Temperature Difference Of October?A. September, December, JanuaryB. November, DecemberC.
Understanding the Problem
The table below shows the highest and lowest recorded temperatures for 5 consecutive months. We are asked to determine which months had temperature differences that were less than half the temperature difference of October.
| Month | Highest Temperature | Lowest Temperature | Temperature Difference |
|---|---|---|---|
| September | 85°F | 55°F | 30°F |
| October | 90°F | 60°F | 30°F |
| November | 80°F | 58°F | 22°F |
| December | 78°F | 62°F | 16°F |
| January | 75°F | 65°F | 10°F |
Calculating the Temperature Difference of October
The temperature difference of October is 30°F. To find the temperature difference that is less than half of this, we need to calculate half of 30°F.
30°F / 2 = 15°F
Identifying the Months with Temperature Differences Less Than Half of October
Now, we need to identify the months with temperature differences less than 15°F.
- September: 30°F (not less than 15°F)
- October: 30°F (not less than 15°F)
- November: 22°F (less than 15°F)
- December: 16°F (less than 15°F)
- January: 10°F (less than 15°F)
Conclusion
Based on the calculations, the months with temperature differences less than half the temperature difference of October are November, December, and January.
Answer
The correct answer is A. September, December, January.
Explanation
Q&A: Understanding the Problem
Q: What is the main goal of this problem?
A: The main goal of this problem is to determine which months had temperature differences that were less than half the temperature difference of October.
Q: What information is provided in the table?
A: The table provides the highest and lowest recorded temperatures for 5 consecutive months, along with the temperature differences for each month.
Q: How do we calculate the temperature difference of October?
A: To calculate the temperature difference of October, we subtract the lowest temperature from the highest temperature: 90°F - 60°F = 30°F.
Q: What is half of the temperature difference of October?
A: Half of the temperature difference of October is 15°F, which is calculated by dividing the temperature difference by 2: 30°F / 2 = 15°F.
Q: Which months have temperature differences less than 15°F?
A: The months with temperature differences less than 15°F are November, December, and January.
Q: Why are November, December, and January the correct answers?
A: November, December, and January are the correct answers because their temperature differences (22°F, 16°F, and 10°F, respectively) are all less than 15°F, which is half of the temperature difference of October.
Q&A: Common Misconceptions
Q: Can we simply look at the temperature differences in the table and choose the months with the lowest differences?
A: No, we cannot simply look at the temperature differences in the table and choose the months with the lowest differences. We need to calculate half of the temperature difference of October and then compare it to the temperature differences of each month.
Q: Can we assume that the months with the lowest temperature differences are the correct answers?
A: No, we cannot assume that the months with the lowest temperature differences are the correct answers. We need to calculate half of the temperature difference of October and then compare it to the temperature differences of each month.
Q&A: Additional Tips
Q: How can we ensure that we are calculating the temperature differences correctly?
A: To ensure that we are calculating the temperature differences correctly, we can double-check our calculations by subtracting the lowest temperature from the highest temperature for each month.
Q: What if we are given a different table with different temperature data?
A: If we are given a different table with different temperature data, we can follow the same steps as before to calculate the temperature differences and determine which months have temperature differences less than half of the temperature difference of October.
Conclusion
In this article, we have discussed the problem of determining which months had temperature differences that were less than half the temperature difference of October. We have provided a step-by-step solution to the problem, including calculating the temperature difference of October, determining half of this difference, and identifying the months with temperature differences less than 15°F. We have also addressed common misconceptions and provided additional tips for ensuring accurate calculations.