Plz, the population of deer in a national preserve, p(t), in hundreds, t years after the opening of the nature preserve is shown in the table below.

The answers are zero and 5.
The average rate of change of the population of deer over the interval [2,4] is the ratio of the difference in the population as it changes from year 2 to 4 to the difference between the independent variable time:
     average rate of change = p(t2)-p(t1) / t2-t1
                                           = 850-850 / 4-2
                                           = 0
To determine the interval with -300 average rate of change, we use the equation for the average rate of change above and the values in the table. Substituting the values into the equation, we have-300 = 100-p(t1) / 7-x1According to the values in the table, we have -300 average rate of change over the interval [5,7]:
     average rate of change= 100-700 / 7-5
                                          = -600 / 2
                                          = -300