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valkas [14]
3 years ago
8

currently (2019), there are 153 bald eagles in Forest National Park. Bald eagles are an endangered species, and the population o

f bald eagles is decreasing by 8% every year. Write the equation that represents the population since 2019.
Mathematics
1 answer:
Valentin [98]3 years ago
6 0

Answer: P=153(0.92)^t

Step-by-step explanation:

For this problem you need to use the formula for Exponential decay:

P=P_0(1-r)^t

Where "P_0" is the initial population, "r" is the decay rate and "t" is the time in years.

With the information given, you can conclude that:

t=0 represents the initial year (2019)

P_0=153

r=\frac{8}{100}\\\\r=0.08

Finally, substituting these values into P=P_0(1-r)^t, you get that  the equation that represents the population since 2019 is:

P=153(1-0.08)^t

P=153(0.92)^t

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