Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Got It? - Page 421: 4


When w=-2, the population is 600 insects. The value of 600 when w=-2 shows that the population size of insects two weeks before they reached 5400 was 600. When w=0, the population is 5400 insects. The value of 5400 when w=0 shows that the initial size of population is 5400 insects. When w=1, the population is 16200 insects. The value of 16200 when w=1 shows that the population size of insects one week after being tripled was 16200.

Work Step by Step

The function is p(w) = 5400$\times$$3^{w}$ When w=-2 p(w) = 5400$\times$$3^{w}$ = 5400$\times$$3^{-2}$ = $\frac{5400}{3^{2}}$ = $\frac{5400}{9}$ = 600 When w=0 p(w) = 5400$\times$$3^{w}$ = 5400$\times$$3^{0}$ = 5400$\times$1 = 5400 When w=1 p(w) = 5400$\times$$3^{w}$ = 5400$\times$$3^{1}$ = 5400$\times$3 = 16200
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