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Internet Users The growth in the number (in millions) of
Chapter 4, Problem 43A(choose chapter or problem)
Internet Users The growth in the number (in millions) of Internet users in the United States between 1990 and 2015 can be approximated by a logistic function with k = 0.0018, where t is the number of years since 1990. In 1990 (when t = 0), the number of users was about 2 million, and the number is expected to level out around 250 million. Source: World Bank.a. Find the growth function G(t) for the number of Internet users in the United States.Estimate the number of Internet users in the United States and the rate of growth for the following years.________________b. 1995________________c. 2000________________d. 2010________________e. What happens to the rate of growth over time?
Questions & Answers
QUESTION:
Internet Users The growth in the number (in millions) of Internet users in the United States between 1990 and 2015 can be approximated by a logistic function with k = 0.0018, where t is the number of years since 1990. In 1990 (when t = 0), the number of users was about 2 million, and the number is expected to level out around 250 million. Source: World Bank.a. Find the growth function G(t) for the number of Internet users in the United States.Estimate the number of Internet users in the United States and the rate of growth for the following years.________________b. 1995________________c. 2000________________d. 2010________________e. What happens to the rate of growth over time?
ANSWER:Solution:Step 1 of 5In this problem, we have given that the growth in number (in millions) of internet users between and can be approximated by the logistic function with The number (in millions) of internet users in at is .The maximum number (in millions) of internet users is .The growth function is given by.Substituting the values, we getThe rate of the growth of the beetles is given by……………[using chain rule]________________