avissidep
2021-02-21
Daphne Broadhurst
Skilled2021-02-22Added 109 answers
Find an exponential growth function that modeled the data from 1975 to 2015.
In 1975, the population of Europe estimated as 679 million and in 2015, the population had grown to 746 million.
The exponential frowth model can be expressed as
Consider the initial year 1975 as t=0 such that
And t=40 for 2015 such that A(40)=746.
Substitute the t=40,
Hence the exponential growth function such that the data for 1975 through 2015 is
(b) Find the year in which the European population will reach 800 million.
From part (a), the exponential growth function such that the data for 1975 through 2015 is
In order to find the year such that the population will reach 800 million, substitute 800 for A in
The year becomes
Hence, the year in which the European population will reach 800 million is 2045.
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