A bacteria culture starts with e10 bacteria and grows at a rate proportional to its size. After 3 hours there are e16 bacteria. 1. Find an expression for the number of bacteria after t hours. 2. After how many hours will there be e20 bacteria?

A bacteria culture starts with e10 bacteria and grows at a rate proportional to its size. After 3 hours there are e16 bacteria. 1. Find an expression for the number of bacteria after t hours. 2. After how many hours will there be e20 bacteria?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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Question

A bacteria culture starts with e10 bacteria and grows at a rate proportional to its size. After 3 hours there are e16 bacteria.

1. Find an expression for the number of bacteria after t hours.

2. After how many hours will there be e20 bacteria?

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