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In: Advanced Math

Using the carrying capacity model recursively, k= 800 million, the population of the United States for...

Using the carrying capacity model recursively, k= 800 million, the population of the United States for each year between 1950-2017. 1950 population was 158804 thousand. What is the model’s predicted U.S. population for the year 1999 (in thousands)? the growth rate of 0.01078. Give your answer correct to the nearest whole number.

Solutions

Expert Solution

logistic equation is

L=carrying capacity= 800 million = 800000 thousand

k = growth rate = 0.01078 (here growth rate is not in percentage)

...................(1)

in 1950 population was 158804 thousand.

so the initial population is 158804 thousand

take y(0)=158804

put it back in equation 1

to find a population in 1999 take t=1999-1950 = 49

t=49

  thousands in 1999

Colby Messinger answered 2 years ago
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