The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 102 e 0.06t for Betaburgh, where t is the number of years since 1990, and P' and Q' are measured in people per year. In 1990, Alphaville had a population of 5000, and Betaburgh had a population of 3000. Answer parts a) through c).
The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 102 e 0.06t for Betaburgh, where t is the number of years since 1990, and P' and Q' are measured in people per year. In 1990, Alphaville had a population of 5000, and Betaburgh had a population of 3000. Answer parts a) through c).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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a) Determine the population model for both cities
The population model for Alphaville is P(t)=
The population model for Betaburgh is P(t)=
b) What were the population of Alphaville and Betaburgh, the nearest hundred, in 2000?
The population of Alphaville in 2000 was ____ people
The population of Beatburgh in 2000 was ____ people
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