Question

currently (2019), there are 153 bald eagles in Forest National Park. Bald eagles are an endangered species, and the population of bald eagles is decreasing by 8% every year. Write the equation that represents the population since 2019.

Answer 1

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:

$P=153(1-0.08)^t$

$P=153(0.92)^t$