Math Problem Statement
Solution
In the image, the recorded temperatures at different times are as follows:
- 4 p.m.: 25°C
- 6 p.m.: 17°C
- 10 p.m.: 8°C
The question is about the rate at which the temperature dropped between these times. Tyler says the temperature dropped faster between 4 p.m. and 6 p.m., while Mai says it dropped faster between 6 p.m. and 10 p.m.
Let’s calculate the rate of temperature change for both time periods.
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From 4 p.m. to 6 p.m.:
Temperature change = 25°C - 17°C = 8°C
Time interval = 6 p.m. - 4 p.m. = 2 hours
Rate of change = 8°C ÷ 2 hours = 4°C per hour. -
From 6 p.m. to 10 p.m.:
Temperature change = 17°C - 8°C = 9°C
Time interval = 10 p.m. - 6 p.m. = 4 hours
Rate of change = 9°C ÷ 4 hours = 2.25°C per hour.
Conclusion:
The temperature dropped faster between 4 p.m. and 6 p.m. at a rate of 4°C per hour, compared to the rate of 2.25°C per hour between 6 p.m. and 10 p.m. Thus, I agree with Tyler's statement that the temperature dropped faster between 4 p.m. and 6 p.m.
Would you like further details or explanations? Let me know!
Here are some related questions for you:
- How would the rate of temperature change be affected if the time intervals were different?
- What other factors might affect the rate of temperature change over time?
- How would you calculate the average rate of temperature change over the entire evening (from 4 p.m. to 10 p.m.)?
- If the temperature had dropped 5°C between 4 p.m. and 6 p.m., how would that change the answer?
- Can the rate of temperature change be constant during the evening?
Tip: Always remember to check the units of time and temperature when calculating rates to ensure consistency!
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Math Problem Analysis
Mathematical Concepts
Rate of change
Time intervals
Temperature change
Formulas
Rate of change = (Final value - Initial value) / Time interval
Theorems
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Suitable Grade Level
Grades 5-7