This is question 10 from my homework, please help me! A fruit fly population growth can be modeled byy = Poertwhere Po is the initial population when you start measuring, tis the number of days after the initial measure, and y is thepopulation at time t.If the initial population is Po = 500 flies and, 5 days later, thepopulation is 800, what is the population 12 days after theinitial measure?Note that r is a constant that you will need to find as part ofsolving this problem. When you do, round r to three digitsafter the decimal and continue solving the problem.ANSWER:fruit fliesDo not include units in the answer box. Just a number. Roundyour final answer to the nearest whole fly.

Name: This is question 10 from my homework, please help me! A fruit fly popu
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Description: This is question 10 from my homework, please help me! A fruit fly population growth can be modeled byy = Poertwhere Po is the initial population when you start measuring, tis the number of days after the initial measure, and y is thepopulation at tim

Answered: A fruit fly population growth can be…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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This is question 10 from my homework, please help me!

A fruit fly population growth can be modeled by
y = Poert
where Po is the initial population when you start measuring, t
is the number of days after the initial measure, and y is the
population at time t.
If the initial population is Po = 500 flies and, 5 days later, the
population is 800, what is the population 12 days after the
initial measure?
Note that r is a constant that you will need to find as part of
solving this problem. When you do, round r to three digits
after the decimal and continue solving the problem.
ANSWER:
fruit flies
Do not include units in the answer box. Just a number. Round
your final answer to the nearest whole fly.

Expert Solution

Step 1

The given growth model is -

$y = P_{0} e^{r t} . . . . . . (1) w h e r e P_{0} i s t h e i n i t i a l p o p u l a t i o n, t i s t h e n u m b e r o f d a y s a f t e r t h e i n i t i a l m e a s u r e, y i s t h e p o p u l a t i o n a t t i m e t .$

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