The temperature at 3:00 a.m was -17.3 degrees. By noon it was 17.8 degrees. At what time was it the coldest
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To determine the time when it was the coldest, we need to find the lowest temperature in between 3:00 a.m and 12:00 p.m. Here's how we can approach this:
1. Calculate the time difference between 3:00 a.m and 12:00 p.m. There are 9 hours between these two times.
2. Determine the rate of temperature change per hour by finding the difference between the temperatures at 3:00 a.m and 12:00 p.m, and dividing it by the time difference. In this case, the temperature changed from -17.3 degrees to 17.8 degrees, resulting in a difference of 35.1 degrees. Dividing this by 9 hours gives us an average temperature change of approximately 3.89 degrees per hour.
3. Since the temperature is continuously changing during this period, we can use the rate of temperature change to estimate the time when it was coldest. We know that the temperature at 3:00 a.m was -17.3 degrees and it increased at an average rate of 3.89 degrees per hour. Treating the rate of change as positive (since it is increasing), we can set up the following equation to find the time when the temperature would have been at its lowest:
-17.3 + 3.89 * t = coldest temperature
Where "t" represents the time elapsed since 3:00 a.m.
4. Solving this equation for "t" will give us the time when the temperature was coldest.