9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The study, which began on January 1, 1960, found that both elephant populations are decreasing at an exponential rate. Both elephant populations can be modelled using an exponential function of the form f(x) = ac. where x: time elapsed January 1, 1960, in years f(x): the population of African elephants g(x): the population of Asian elephants AFRICAN ELEPHANTS The study found that on January 1, 1980 there were 1 160 425 African elephants. On January 1, 2010, there were 181 323 African elephants. ASIAN ELEPHANTS The study stated that on January 1, 1960 there were 1 000 000 Asian elephants. Also, Asian elephants have been decreasing by 10% every 2 years, since January 1, 1960. In what year will the two elephant populations be equal?
9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The study, which began on January 1, 1960, found that both elephant populations are decreasing at an exponential rate. Both elephant populations can be modelled using an exponential function of the form f(x) = ac. where x: time elapsed January 1, 1960, in years f(x): the population of African elephants g(x): the population of Asian elephants AFRICAN ELEPHANTS The study found that on January 1, 1980 there were 1 160 425 African elephants. On January 1, 2010, there were 181 323 African elephants. ASIAN ELEPHANTS The study stated that on January 1, 1960 there were 1 000 000 Asian elephants. Also, Asian elephants have been decreasing by 10% every 2 years, since January 1, 1960. In what year will the two elephant populations be equal?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:9)THE ELEPHANTS
Recently, a study on the African and Asian elephant populations was published.
The study, which began on January 1, 1960, found that both elephant populations are decreasing at
an exponential rate.
Both elephant populations can be modelled using an exponential function of the form
f(x) = a cx.
where
x: time elapsed January 1, 1960, in years
f(x): the population of African elephants
g(x): the population of Asian elephants
AFRICAN ELEPHANTS
The study found that on January 1, 1980 there were 1 160 425 African elephants.
On January 1, 2010, there were 181 323 African elephants.
ASIAN ELEPHANTS
The study stated that on January 1, 1960 there were 1 000 000 Asian elephants.
Also, Asian elephants have been decreasing by 10% every 2 years, since January 1, 1960.
In what year will the two elephant populations be equal?
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