2021-09-19

The exponential growth models, $A=33.1{e}^{0.009t}$ (Canada) and $A=28.2{e}^{0.034t}$ (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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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 $A=33.1{e}^{0.009t}$ and exponential growth model for Uganda is $A=28.2{e}^{0.034t}$. Since t is after 2006 years, so for the year 2013, t=7
$A=33.1{e}^{0.009\left(7\right)}$
$=33.1{e}^{0.063}$
$=35.25$
Therefore, the population of Canada in 2013 is 35.25 million.
Calculate the population of Uganda.
$A=28.2{e}^{0.034\left(7\right)}$
$=28.2{e}^{0.238}$
$=35.777$
Therefore, the population of Uganda in 2013 is 35.777 million.
Thus, the population of Uganda is more than Canadas

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