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) as shown below. dP dt = k t The initial size of the population is 300. After 1 day the population has grown to 400. Estimate the population after 8 days. (Round your answer to the nearest whole number.)

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) as shown below. dP dt = k t The initial size of the population is 300. After 1 day the population has grown to 400. Estimate the population after 8 days. (Round your answer to the nearest whole number.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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