We are given
The first time a census was taken in Michele Corners, the population was 1772
so, initial population =1772
so, [tex]P=1772[/tex]
Each year after that, the population was about 9% higher than it was the previous year
so, r=9%
[tex]r=0.09[/tex]
now, we can use formula
[tex]y=P(1+r)^{x}[/tex]
y is population after x years
x represent the number of years since the first census was taken
so, we get equation as
[tex]y=1772(1+0.09)^{x}[/tex]
[tex]y=1772(1.09)^{x}[/tex]
y-intercept:
so, we can plug x=0 to get y-intercept
[tex]y=1772(1.09)^{0}[/tex]
[tex]y=1772[/tex]...........Answer
