Answer:
The population in 2039 would be;
[tex]117,726[/tex]
Note: this value can be confirmed by using the spreadsheet to extrapolate values.
Explanation:
Given that the population in 2019 was;
[tex]103,126[/tex]
And the population in 2020 was;
[tex]103,856[/tex]
The population growth can be modeled with a linear equation;
[tex]y=mx+b[/tex]
The slope m is given as;
[tex]m=730[/tex]
And b would be the value of y at x=0.
where x is the number of years after 2019;
[tex]b=103,126[/tex]
the model can then be written as;
[tex]y=730x+103,126[/tex]
At year 2039, x would be;
[tex]x=2039-2019=20[/tex]
substituting the value of x into the model;
[tex]\begin{gathered} y=730(20)+103,126 \\ y=117,726 \end{gathered}[/tex]
Therefore, the population in 2039 would be;
[tex]117,726[/tex]
Note: this value can be confirmed by using the spreadsheet to extrapolate values.
