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 tis the time in days (0 ≤ t ≤ 10) as shown below. k√t dP dt The initial size of the population is 700. After 1 day the population has grown to 800. Estimate the population after 6 days. (Round your answer to the nearest whole number.) bacteria Need Help? Read It Master It

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 60E
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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 tis
the time in days (0 ≤ t ≤ 10) as shown below.
dP
dt
=
k√t
The initial size of the population is 700. After 1 day the population has grown to 800. Estimate the population after 6 days. (Round
your answer to the nearest whole number.)
bacteria
Need Help? Read It
Master It
Transcribed Image Text: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 tis the time in days (0 ≤ t ≤ 10) as shown below. dP dt = k√t The initial size of the population is 700. After 1 day the population has grown to 800. Estimate the population after 6 days. (Round your answer to the nearest whole number.) bacteria Need Help? Read It Master It
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