The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days (0 ≤ t ≤ 10). That is, dP/dt = k√t. The initial size of the population is 500. After 1 day, the population has grown to 600. Estimate the population after 7 days.
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days (0 ≤ t ≤ 10). That is, dP/dt = k√t. The initial size of the population is 500. After 1 day, the population has grown to 600. Estimate the population after 7 days.
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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The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days (0 ≤ t ≤ 10). That is, dP/dt = k√t. The initial size of the population is 500. After 1 day, the population has grown to 600. Estimate the population after 7 days.
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