) [3.4] A population of ants grows at a rate which is proportional to the size of the population. Assume the initial population size is 2500 ants and that its relative growth rate is 0.25 per year. Let y denote the population size at any given time t (in years). a) Write a differential equation that describes the population growth. b) Write the population size as a function of time. c) How many ants will there be in 10 years?

) [3.4] A population of ants grows at a rate which is proportional to the size of the population. Assume the initial population size is 2500 ants and that its relative growth rate is 0.25 per year. Let y denote the population size at any given time t (in years). a) Write a differential equation that describes the population growth. b) Write the population size as a function of time. c) How many ants will there be in 10 years?

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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