Answer:
To predict the population of rabbits in the year 2000, we can use the exponential growth formula.
The formula for exponential growth is: P = P0 * e^(rt), where P is the final population, P0 is the initial population, e is the base of the natural logarithm (approximately 2.71828), r is the growth rate, and t is the time in years.
Given that the population in 1990 was 2100 and in 1993 it was 3100, we can find the growth rate (r) by using the formula: r = ln(P/ P0) / t.
Calculating the growth rate: r = ln(3100/2100) / 3 ≈ 0.237
Now, let's use the formula to predict the population in the year 2000, which is 10 years after 1990.
P = 2100 * e^(0.237 * 10)
Calculating:
P ≈ 2100 * e^(2.37) ≈ 2100 * 10.705 ≈ 22,481
So, the predicted population of rabbits in the year 2000 would be approximately 22,481 rabbits.
