The exponential growth models, A=33.1e^{0.009t} (Canada) and A=28.2e^{0

a2linetagadaW 2021-09-19 Answered
The exponential growth models, \(\displaystyle{A}={33.1}{e}^{{{0.009}{t}}}\) (Canada) and \(\displaystyle{A}={28.2}{e}^{{{0.034}{t}}}\) (Uganda) describe the population of the indicated country, A, in millions, t years after 2006. Use this information to determine whether the statement is true or false: "The models indicate that in 2013, Uganda’s population will exceed Canada’s". If the statement is false, make the necessary change(s) to produce a true statement.

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Answered 2021-09-20 Author has 14224 answers
Determine whether the statement "The models indicate that in 2013, Uganda’s population will exceed Canada’s" is true or false
The exponential growth model for Canada is \(\displaystyle{A}={33.1}{e}^{{{0.009}{t}}}\) and exponential growth model for Uganda is \(\displaystyle{A}={28.2}{e}^{{{0.034}{t}}}\). Since t is after 2006 years, so for the year 2013, t=7
\(\displaystyle{A}={33.1}{e}^{{{0.009}{\left({7}\right)}}}\)
\(\displaystyle={33.1}{e}^{{{0.063}}}\)
\(\displaystyle={35.25}\)
Therefore, the population of Canada in 2013 is 35.25 million.
Calculate the population of Uganda.
\(\displaystyle{A}={28.2}{e}^{{{0.034}{\left({7}\right)}}}\)
\(\displaystyle={28.2}{e}^{{{0.238}}}\)
\(\displaystyle={35.777}\)
Therefore, the population of Uganda in 2013 is 35.777 million.
Thus, the population of Uganda is more than Canada's population in 2013.
Hence, the given statement is true.
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asked 2021-06-19

The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006.
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The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006.Uganda’s growth rate is approximately 3.8 times that of Canada’s.Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
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