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The population of the world doubled from 1950 to 1987. Using the exponential model, ?=?0???,P=P0ekt, where...

The population of the world doubled from 1950 to 1987. Using the exponential model,

? = ? 0 ? ? ?,

where ?t is measured in years, find the annual growth rate ?k for that period.

Expert Solution

SOLN :

It is given that the population growth follows the exponential model,

....................

where P is the population at time t (in years)

is the initial population

k is the growth rate

t is the time measured in years

So in 1950 let the population be

In 1987 let the population be

Now it is given that , that it the population doubled.

Hence the expression becomes

then,

here t = 1987 - 1950 = 37years

then,

milcah answered 3 years ago

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