2. If one denotes the population of a planet by E(t) per year t, then the population growth rate dE/dt is characterized by dE dt kE, where k denotes the constant of proportionality. (a) Find an exact expression for k given that the population E of the planet doubles every 37 years. (b) The population of this city is initially 300, 000. How many years (T) would it take for the population to grow to 10, 000, 000? Give your answer to the nearest year.
2. If one denotes the population of a planet by E(t) per year t, then the population growth rate dE/dt is characterized by dE dt kE, where k denotes the constant of proportionality. (a) Find an exact expression for k given that the population E of the planet doubles every 37 years. (b) The population of this city is initially 300, 000. How many years (T) would it take for the population to grow to 10, 000, 000? Give your answer to the nearest year.
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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