37,840 is the fox population predicted to be in the year 2019.
What is a growth rate?
The country, territory, or geographic area's yearly average rate of change in population size over a certain time period. It expresses the proportion, usually multiplied by 100, between the annual growth in population size and the total population for that year.
Here, we have
A growth rate of 9% per year means that at the end of each year, the population is 1.09 times what it was at the start of the year.
We keep this up for t years, starting with an initial population of 20,700, and get
P(n) = 20,700 (1.09)ⁿ
n = years since 2012, when the population was 20,700
For the year 2019,
n = 2019 - 2012 = 7
P(7) = 20,700 (1.09)⁷ ≅ 37,840
Hence, 37,840 is the fox population predicted to be in the year 2019.
To learn more about the growth rate from the given link
https://brainly.com/question/25849702
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