Respuesta :
The projected population for the year 2036 for the following conditions is 232.870 million.
What is the relative growth rate?
Relative growth rate (RGR) is the rate of growth in relation to size or the rate of growth per unit of time in relation to the size of the object at that particular time. The continuous growth rate or the exponential growth rate are other names for it.
Given Data:
The relative growth is 3 % per year.
The government trying to reduce the growth rate to 2%.
The population in 2011 was 110 million.
The population growth model is given as,
[tex]$P(t)=P_o e^{r t}$[/tex]
The population in 2011 was 110 million, and the population in 2036 (after [tex]$t=25$[/tex] ) is given as,
[tex]$P(25)=110 e^{25 r}$[/tex]
When the rate is [tex]$3 \%$[/tex] per year, the population is.
[tex]$\begin{aligned}& P(25)=110 e^{25 \times 0.03} \\& P(2)=232.870 \text { millions }\end{aligned}$[/tex]
So, the projected population for the year 2036 for the following conditions is 232.870 million.
To know more about the population growth model check out:
https://brainly.com/question/24173913
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