contestada

A country's population and the growth rate in 2011 are given below. Use this information and an exponential growth rate model to estimate the country's population in the specified year. population= 149 million; growth rate= 1.521 percentyear, 2019the size of the population in 2019 will be about _____ million.

Respuesta :

To solve this problem, we could use the following model

[tex]p(t)=p_0(1+r)^t[/tex]

Where p0 represents our population in millions, r represents the growth rate, and t represents the amount of years after 2011( 2011 is t = 0).

We have all of our values

[tex]\begin{gathered} p_0=149 \\ r=0.01521 \\ t=2019-2011=8 \end{gathered}[/tex]

Plugging those values in our model, we have

[tex]p(8)=149(1+0.01521)^8=168.125413042\ldots\approx168.13[/tex]

Then, the size of the population in 2019 will be about 168.13 million.

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