1. Draw the rectangle that represents the height and width of the trunk including the diagonal. 2. Use the Pythagorean theorem to calculate the length of the diagonal.
3. Assuming the trunk is at least 96 inches deep, can the TV fit into the trunk of the car? Explain.

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