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The first time a census was taken in Michele Corners, the population was 1772. Each year after that, the population was about 9% higher than it was the previous year.

Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.

What are the coordinates of the point that contains the ­y-intercept?

Respuesta :

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


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