Given: The population growth rate in 2010 and the population of people in 2010
[tex]\begin{gathered} rate=1.1\% \\ Population=6.9billion \end{gathered}[/tex]
To Determine: The value of the space shown in the table
Solution
The modelled growth rate formula is
[tex]\begin{gathered} P=P_0(1+r)^t \\ P_0=Initial-population \\ r=growth-rate \\ t=time \\ P=Present-population \end{gathered}[/tex][tex]\begin{gathered} P=6.9billion\times1.1 \\ P=7.59billion \end{gathered}[/tex]
The projected population is 2011 is 7.59 billion
In 2012, the number of year after 2010 would be
[tex]t=2012-2010=2[/tex]
The projected population in 2012 would be
[tex]\begin{gathered} P=1.1\times7.59billion \\ P=8.349billion \\ P\approx8.35billion \end{gathered}[/tex]
In 2013, the number of year after 2010 would be
[tex]\begin{gathered} t=2013-2010 \\ t=3years \end{gathered}[/tex]
The projected population in 2013 would be
[tex]\begin{gathered} P=1.1\times8.349billion \\ P=9.1839billion \\ P\approx9.18billion \end{gathered}[/tex]
The table is filled as shown below