# College Math

Assume the carrying capacity of the earth is 8

billion. Use the 1960s peak annual growth rate of 2.1
​%
and population of 3

billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of 6.8

billion. How does the predicted growth rate compare to the actual growth rate of about 1.2
​%
per​ year?
What is the base growth​ rate?
nothing
​%
​(Round to four decimal places as​ needed.)
What is the estimated current growth​ rate?
nothing
​%
​(Round to two decimal places as​ needed.)
How does the estimated growth rate compare to the actual current growth​ rate?
A.
The predicted growth rate is the same as the actual growth rate.
B.
The predicted growth rate is larger

than the actual growth rate.
C.
The predicted growth rate is smaller

than the actual growth rate.

1. 👍
2. 👎
3. 👁
1. so, do you know the equation for logistic growth, and how it relates to the given data?

1. 👍
2. 👎
2. no i do not. I need help figuring out how to answer the question.

1. 👍
2. 👎
Recall that the logistic model is

P(t) = KP0 / (P0 + (K-P0)e^-rt)

where
K is the carrying capacity (maximum possible value)
P0 is the initial population (at t=0)
r is the growth rate

wikipedia's article is a good place to study this model:

https://en.wikipedia.org/wiki/Logistic_function

1. 👍
2. 👎
👤
oobleck

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