Question

The fish population of a receding pond is 8,000. The population is expected to decrease at a rate of 8% each year.Which function represents the population of the fish in the pond after x years?

Answer 1

Answer: f(x) = 8000(0.92)^x

Step-by-step explanation:

The formula for calculating exponential decay is expressed as

f(x) = P(1 - r)^x

where

f(x) is the population after a period of x

P is the initial population

r is the decay rate

x is the time

From the information given,

P = 8000

r = 8% = 8/100 = 0.08

By substituting r = 0.08 into the equation. We have

f(x) = 8000(1 - 0.08)^x

f(x) = 8000(0.92)^x