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In 2010, (when t = 0), the population of a country was 1.16 billion people and...

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Basic Math

In 2010, (when t = 0), the population of acountry was 1.16 billion people and increasing at a rateproportional to its population. If the population is measured inbillions of people and time is measured in years since 2010, theconstant of proportionality is 0.0138.

(a) Define the variables.

Let P be the population, in trillions of people, inyear t, where t represents the number of yearsbefore 2010.

Let P be the population, in billions of people, in yeart, where t represents the number of years before2010.    

Let P be the population, in billions of people, in yeart, where t represents the number of years since2010.Let P be the population, in billions of people, inmonth t, where t represents the number of yearsbefore 2010.

Let P be the population, in billions of people, in yeart, where t represents the current year.


(b) Write a differential equation to describe the relationship.

dP
dt

=

with initial condition P(0) =_____________

(c) Solve the differential equation.
P = _________________________

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