Consider the following case of exponential decay. Complete parts(b) and(c) below.

A privately owned forest that had 4,000,000 acres of old growth is being clear cut at a rate of 6% per year.

a. Make an exponential function of the form Q=Q0(1+r)t, (where r>0 for growth and r<0 fordecay) to model the situation described.

Q=4,000,000 x (1+0.06)^t

b. Make a table showing the value of the quantity Q for the first 10 years of growth.

Year=t Acres Year=t Acres

0 4,000,000 6 ______ _______

1 ______ 7_______ _______

2 _______ 8_______ _______

3 ________ 9 _______ _______

4 ________ 10______ _______

5 ________

(Round to the nearest whole number asneeded.)

c. Make a graph of the exponential function.

Place the year on the horizontal axis and the population on the vertical axis. Plot the values that you found in the previousstep, where eachyear, and the town population at thatyear, represent one point on the graph.Finally, draw a smooth curve through the points.