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Lavania is studying the growth of apopulation of fruit flies in her laboratory. She noticesthat the number of fruit flies in her experiment is fivetimes as large after any six-day period. She observes 20fruit flies on October 1. Write and evaluate anexpression to predict the population of fruit fliesLavania will observe on October 31.

Respuesta :

Lavania is studying the growth of a

population of fruit flies in her laboratory. She notices

that the number of fruit flies in her experiment is five

times as large after any six-day period. She observes 20

fruit flies on October 1. Write and evaluate an

expression to predict the population of fruit flies

Lavania will observe on October 31.

[tex]P=p(1+i)^{^n}[/tex]

by the question data

Let

p=the initial population = x

five times as large= 5x

n= number of periods = 6

[tex]\begin{gathered} 5x=x(1+i)^6 \\ 5=(1+i)^6 \\ \sqrt[6]{5}=\text{ }\sqrt[6]{(1+i)^6} \\ \sqrt[6]{5}=1+i \\ \sqrt[6]{5}-1=i \\ 0.3076=\text{ i} \end{gathered}[/tex][tex]undefined[/tex]