By 2009, the models indicate that Canada’s population will exceed Uganda’s by ap

Cem Hayes

Cem Hayes

Answered question

2021-09-08

By 2009, the models indicate that Canada’s population will exceed Uganda’s by approximately 2.8 million.The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
Canada: A=33.1e0.009t
Uganda: A=28.2e0.034t

Answer & Explanation

Aubree Mcintyre

Aubree Mcintyre

Skilled2021-09-09Added 73 answers

Given:
Growth model for Canada A=33.1e0.009t.
Growth model for Uganda A=28.2e0.034t
Canada’s population- Uganda’s population= 2.8 million.
As given population A in million and t years after 2006.
Therefore, t=0 for 2006 than for 2009 t will be 3.
Now, calculate the population of each country at 2009
For Canada population put t=3 in A=33.1e0.009t.
A=33.1e0.009(3)
A=33.1e0.027
A=34.006.
For Uganda population put t=3 in A=28.2e0.034t
A=28.2e0.034(3)
A=28.2e0.102
A=31.228
Therefore, by 2009 Canada’s population is 34.006 million, and Uganda’s population is 31.228 million.
Now,
Canada’s population- Uganda’s population=34.006-31.228
=2.778
Which is approximately 2.8 million.
Therefore, the given statement is true.
Answer:
Given statement By 2009, the models indicate that Canada’s population will exceed Uganda’s by approximately 2.8 million is true.

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