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Clam Population The population of a bed of clams in the
Chapter 4, Problem 47A(choose chapter or problem)
Problem 47A
Clam Population The population of a bed of clams in the Great South Bay off Long Island is described by the logistic function with k = 0.0001 and t in years. Assume that there are 400 clams initially and that the maximum population size is 5200.
a. Find the growth function G(t) for the clams.
Find the population and rate of growth of the population after the following times.
b. 1 year
c. 4 years
d. 10 years
e. What happens to the rate of growth over time?
Questions & Answers
QUESTION:
Problem 47A
Clam Population The population of a bed of clams in the Great South Bay off Long Island is described by the logistic function with k = 0.0001 and t in years. Assume that there are 400 clams initially and that the maximum population size is 5200.
a. Find the growth function G(t) for the clams.
Find the population and rate of growth of the population after the following times.
b. 1 year
c. 4 years
d. 10 years
e. What happens to the rate of growth over time?
ANSWER:
Solution:
Step 1 of 9:
a)In this problem, we need to find the growth function for the clams.