The rate of temperature change between noon and 3:30 p.m. is 2 degrees F per hour.
To determine the rate of temperature change between noon and 3:30 p.m., we can use the information provided in the table. The temperature at noon is given as 32°F, and at 3:30 p.m., it is recorded as 38°F. The difference between these two temperatures is 38°F - 32°F = 6°F.
The time span between noon and 3:30 p.m. is 3.5 hours. To find the rate of change, we divide the temperature difference by the time span:
Rate of Change=Temperature Difference/Time Span
Rate of Change=6 degrees F/3.5hours
Simplifying this expression, we find that the rate of temperature change is approximately 2 degrees F per hour. Therefore, the temperature changed at a constant rate of 2 degrees F per hour between noon and 3:30 p.m.