The average rate of change of the temperature function is -4°C per minute, indicating that the temperature of the soup is decreasing by an average of 4 degrees Celsius per minute over the given time interval.
The average rate of change of a function represents the change in the output variable (in this case, the temperature of the soup) divided by the change in the input variable (in this case, time).
To determine the average rate of change of the temperature function on the interval of time, we need to find the difference in temperature at the beginning and end of the interval and divide it by the difference in time.
For example, if the temperature of the soup at 0 minutes is 80°C and at 5 minutes is 60°C, the average rate of change of the temperature function would be:
Average Rate of Change = (60 - 80) / (5 - 0) = -4°C per minute
This means that the temperature of the soup is decreasing by an average of 4 degrees Celsius per minute over the given time interval.
The probable question may be:
If the average rate of change of the temperature function is -4°C per minute, and the temperature at 0 minutes is 80°C, what would be the expected temperature at 5 minutes based on this rate of change?