   Chapter 1.4, Problem 30E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

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 P(0) and the rate of growth, define a function to calculate the population of bacteria in terms of time t as shown below,

P(t)=2t0.5P(0)=22tP(0)=4tP(0)

(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 P(t) to reach 100,000.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Convert the expressions in Exercises 8596 radical form. x4/3

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Factor: 4x2y36x2y410x2y5

Elementary Technical Mathematics

#### What is a Linear programming problem?

Finite Mathematics for the Managerial, Life, and Social Sciences

#### The quadratic approximation for at a = 1 is:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Evaluate 6 8 24 30

Study Guide for Stewart's Multivariable Calculus, 8th 