The population of Chile was approximately 16.9 million in the year 2011, with an annual growth rate of 0.836%. The population P ( t ) (in millions) can be modeled by P ( t ) = 16.9 ( 11.00836 ) t , where t is the number of years since 2011. a. Write a function of the form P ( t ) = P 0 e k t to model the population. b. Determine the amount of time required for tile population to grow to 20 million if this trend continues. Round to the nearest year.
The population of Chile was approximately 16.9 million in the year 2011, with an annual growth rate of 0.836%. The population P ( t ) (in millions) can be modeled by P ( t ) = 16.9 ( 11.00836 ) t , where t is the number of years since 2011. a. Write a function of the form P ( t ) = P 0 e k t to model the population. b. Determine the amount of time required for tile population to grow to 20 million if this trend continues. Round to the nearest year.
Solution Summary: The author explains the exponential function P(t)=abt to compute exponential growth or decay.
The population of Chile was approximately 16.9 million in the year 2011, with an annual growth rate of 0.836%. The population
P
(
t
)
(in millions) can be modeled by
P
(
t
)
=
16.9
(
11.00836
)
t
, where t is the number of years since 2011.
a. Write a function of the form
P
(
t
)
=
P
0
e
k
t
to model the population.
b. Determine the amount of time required for tile population to grow to 20 million if this trend continues. Round to the nearest year.
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