To solve this problem, we need to apply the formula for exponential decay, which is:

N = N0 * (1 - r)^t

where:
N is the final amount (the number of foxes after 4 years),
N0 is the initial amount (the current number of foxes),
r is the rate of decline (20% per year, expressed as 0.20), and
t is the time (4 years).

Substituting the given values into the formula, we get:

N = 3746 * (1 - 0.20)^4

First, calculate the value inside the parentheses:

1 - 0.20 = 0.80

Then, raise this result to the power of 4:

0.80^4 = 0.4096

Finally, multiply this result by the initial number of foxes:

N = 3746 * 0.4096 ≈ 1535

So, if the fox population continues to decline at this rate, there will be approximately 1535 foxes left after 4 years.

Question

To solve this problem, we need to apply the formula for exponential decay, which is:

N = N0 * (1 - r)^t

where:
N is the final amount (the number of foxes after 4 years),
N0 is the initial amount (the current number of foxes),
r is the rate of decline (20% per year, expressed as 0.20), and
t is the time (4 years).

Substituting the given values into the formula, we get:

N = 3746 * (1 - 0.20)^4

First, calculate the value inside the parentheses:

1 - 0.20 = 0.80

Then, raise this result to the power of 4:

0.80^4 = 0.4096

Finally, multiply this result by the initial number of foxes:

N = 3746 * 0.4096 ≈ 1535

So, if the fox population continues to decline at this rate, there will be approximately 1535 foxes left after 4 years.

Knowee AI · Accepted Answer