Ten blackberry plants started growing in my yard. Absent constraint, blackberries will spread by 150% a month. My yard can only sustain about 45 plants. Use the logistic growth model to answer the following. ________ a) Write a recursive formula for the number of blackberry plants in my yard. A) P0=10 Pn=Pn−1+150(1−Pn−145)Pn−1P0=10 Pn=Pn-1+1501-Pn-145Pn-1 B) P0=10 Pn=Pn−1+1.5(1−Pn−145)Pn−1P0=10 Pn=Pn-1+1.51-Pn-145Pn-1 C) P0=45 Pn=Pn−1+150(1−Pn−110)Pn−1P0=45 Pn=Pn-1+1501-Pn-110Pn-1 D) P0=45 Pn=Pn−1+1.5(1−Pn−110)Pn−1P0=45 Pn=Pn-1+1.51-Pn-110Pn-1 b) Calculate the number of plants after 1, 2, and 3 months. Month 1: ________________ Month 2: ________________ Month 3: ________________
Ten blackberry plants started growing in my yard. Absent constraint, blackberries will spread by 150% a month. My yard can only sustain about 45 plants. Use the logistic growth model to answer the following.
________ a) Write a recursive formula for the number of blackberry plants in my yard.
A) P0=10 Pn=Pn−1+150(1−Pn−145)Pn−1P0=10 Pn=Pn-1+1501-Pn-145Pn-1
B) P0=10 Pn=Pn−1+1.5(1−Pn−145)Pn−1P0=10 Pn=Pn-1+1.51-Pn-145Pn-1
C) P0=45 Pn=Pn−1+150(1−Pn−110)Pn−1P0=45 Pn=Pn-1+1501-Pn-110Pn-1
D) P0=45 Pn=Pn−1+1.5(1−Pn−110)Pn−1P0=45 Pn=Pn-1+1.51-Pn-110Pn-1
b) Calculate the number of plants after 1, 2, and 3 months.
Month 1: ________________ Month 2: ________________ Month 3: ________________
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
