Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - Chapter Review - 7-6 Exponential Functions - Page 466: 57


a. 800 bacteria b. 1.41$\times$$10^{16}$ bacteria

Work Step by Step

A population of bacteria doubles every 30 minutes, which can be represented as $p(x)=50$$\times$$2^{x}$. $x$ is the number of 30-minute periods: a. In 2 hours, there are 4 30-minute periods, so $p(x)=50$$\times$$2^{4}$$=800$ b. In 1 day, there are 48 30-minute periods, so $p(x)=50$$\times$$2^{48}$$=1.41$$\times$$10^{16}$
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