Suppose that a population that is growing exponentially increases from 800,000 people in 2007 to 1,000,000 people in 2010. Without showing the details

chillywilly12a

chillywilly12a

Answered question

2021-05-14

Suppose that a population that is growing exponentially increases from 800,000 people in 2007 to 1,000,000 people in 2010. Without showing the details, describe how to obtain the exponential growth function that models the data.

Answer & Explanation

sovienesY

sovienesY

Skilled2021-05-15Added 89 answers

Exponential Model : t : time , k : growth rate Given Values
Simplifying to find the value of k.
Substitute the given values to find exact value of k.
Substitute the value of k in the model which now varies only with t.
A=A0ekt
A0=800000
A=1000000
t=2
AA0=ekt
kt=ln(AA0)
k=(1t)ln(AA0)
k=(12)ln(1000000800000)=(12)ln1.25=.223242=.112
A=800000e.112t
Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-13Added 2605 answers

Answer is given below (on video)

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