How do you estimate the instantaneous rate of

Quinn Dean

Quinn Dean

Answered question

2022-04-16

How do you estimate the instantaneous rate of change in population in 2010 if a city's population (tens of thousands) is modeled by the function p(t)=1.2(1.05)t where t is number of years since 2000?

Answer & Explanation

ayibangaixgo

ayibangaixgo

Beginner2022-04-17Added 8 answers

The instantaneous rate of change is nothing more than the derivative of your function; in one specific instant (as for you in year 2010) is the derivative evaluated at that point.
p(t)=1.2[1.05xln(1.05)]
At t=10
p'(10)=0.09 tens of thousands per year

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