# The size of the population after 15 h .

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.5, Problem 29E

(a)

To determine

## To find: The size of the population after 15 h .

Expert Solution

The size of the population after 15h is 3200 .

### Explanation of Solution

Given information:

Initial population of the bacteria is 100 and the population is double in every three hours.

The size of the population after 15h is calculated as,

P(t)=P0(2t/3)P(15h)=100(2)153P(15h)=3200

Therefore, the size of the population after 15h is 3200 .

(b)

To determine

### To find: The size of the population after t h .

Expert Solution

The size of the population after th is 100(2)t3 .

### Explanation of Solution

Given information:

Initial population of the bacteria is 100 and the population is double in every three hours.

The size of the population after th is calculated as,

P(t)=P0(2t/3)P(t)=100(2)t3

Therefore, the size of the population after th is 100(2)t3 .

(c)

To determine

### To find: The size of the population after 20 h .

Expert Solution

The size of the population after 20h is 10160 .

### Explanation of Solution

Given information:

Initial population of the bacteria is 100 and the population is double in every three hours.

The size of the population after 20h is calculated as,

P(t)=P0(2t/3)P(20h)=100(2)203P(20h)=10159.3P(20h)10160

Therefore, the size of the population after 20h is 10160 .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!