Bunny Population!

A. Time vs. Population
      I decided to do my example on seeing the growth rate population of bunnies.

B. In this experiment, we will be seeing how much the bunny population grows in a period of 7  
     months.
C.

Months (t)	Population Growth of Bunnies (g)
1	2
2	4
3	8
4	16
5	32
6	64
7	128

D.

 

E. The three secants can be obtained from these 3 points taken from the table/ graph above.

      Points:   D(4,16) E(5,32) F(6, 64)

                 o ROC Point DE (4,16) (5,32)

                        (32-16)/ (4-3) = 16

                 o ROC Point EF (5,32) (6,64) 

                        (64-32)/ (6-5) = 32

       After calculating the secant lines, it seems that the ARC doubles as every month passes. This

       means that, as time passes, the bunny population will double in size every month. The bunny 

       population in this experiment seems to thrive and not fear endangerment.

          

F.

G. (2,4)(3,8)

        (8-4)/(3-2)= 4

This means that from month 2 to month 3, the amount of bunnies went from just 2 bunnies to having 4. It shows that there is a consistent doubling in the population.

H. From this data, we can determine that as the months go by, the population size of the bunnies will double as each month goes by. This shows that as it gets further into the year, the bunny population will significantly increase in size. As the numbers get larger, the values become closer to the secant line.