Question
Asked Sep 17, 2019

 

p(t)=(100e^t)/e^t +100

Describe the size of a population at time t

Find the inverse function and explain its meaning

When will the population size reach 10?

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Expert Answer

Step 1

First switch t and p.

100e
p(t)=
e100
100eP
eP+100
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100e p(t)= e100 100eP eP+100

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Step 2

Solve for p now. 

Answer: Inverse funct...

100еР
eР+100
Or, t(e'+100)-100е?
Or, teP+100t-100еР
Or, 100еP-teP—D100t
Or, eP(100-t) 100t
Or, eP100t
100-t
100t
)
Or, p 100-t
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100еР eР+100 Or, t(e'+100)-100е? Or, teP+100t-100еР Or, 100еP-teP—D100t Or, eP(100-t) 100t Or, eP100t 100-t 100t ) Or, p 100-t

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