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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

The rate of growthdP/dtof a population of bacteria is proportional to the square root oft, wherePis the population size andtis the time in days (0t10) as shown below.

dP

dt

=k

t

The initial size of the population is100. After 1 day the population has grown to600. Estimate the population after7days. (Round your answer to the nearest whole number.)

bacteria

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