Chapter 1.4, Problem 30E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

A bacteria culture starts with 500 bacteria and doubles in size every half hour.

(a) How many bacteria are there after 3 hours?

(b) How many bacteria are there after *t* hours?

(c) How many bacteria are there after 40 minutes?

(d) Graph the population function and estimate the time for the population to reach 100,000.

(a)

To determine

**To Find:** The population of bacteria after 3 hours.

Explanation

**Given:**

The initial population of bacteria is 500 and it gets double for every half hour.

**Calculation:**

Using the given initial population of bacteria
*t* as shown below,

(b)

To determine

**To find:** The population of bacteria after *t* hours.

(c)

To determine

**To Find:** The population of bacteria after 40 minutes.

(d)

To determine

**To estimate:** The time for the population

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