The temperature one cold morning is -5 °C. By noon, the temperature had increased by 3 degrees and at 4 PM the temperature was zero.

My crystal ball is hazy today. It isn't telling me what question you are asking.

To find the rate of temperature change, we need to calculate the change in temperature per unit of time. In this case, we are given the temperature at two different time points - in the morning (-5 °C) and at 4 PM (0 °C). We can find the change in temperature by subtracting the initial temperature from the final temperature:

Change in temperature = final temperature - initial temperature

Change in temperature = 0 °C - (-5 °C)
Change in temperature = 0 °C + 5 °C
Change in temperature = 5 °C

Next, we need to determine the time interval between these two temperature readings. We are given that by noon, the temperature had increased by 3 degrees. This means that the time interval between the morning temperature and noon is half a day. Similarly, the time interval between noon and 4 PM is also half a day. Therefore, the total time interval is one full day or 24 hours.

Now, to find the rate of temperature change per unit of time, we divide the change in temperature by the time interval:

Rate of temperature change = change in temperature / time interval

Rate of temperature change = 5 °C / 24 hours

So, the rate of temperature change is approximately 0.2083 °C per hour.