Final answer:
To predict the population of rabbits in the year 2023 using exponential growth, we can use the formula A = P * (1 + r)^t. With an initial population of 7100 in 2008 and a population of 8900 in 2013, we can calculate the growth rate and use it to find the population in 2023.
Step-by-step explanation:
To predict the population of rabbits in the year 2023 using exponential growth, we can use the formula A = P * (1 + r)^t, where A is the final population, P is the initial population, r is the growth rate, and t is the number of years. We know that the population in 2008 was 7100 and in 2013 it was 8900. Let's calculate the growth rate first.
To find the growth rate, we can use the formula r = (A / P)^(1 / t) - 1. Plugging in the values, we get r = (8900 / 7100)^(1 / 5) - 1, which simplifies to r = 0.0319. Now, we can plug in the known values into the formula to find the population in 2023. P = 8900, r = 0.0319, and t = 2023 - 2013 = 10. A = 8900 * (1 + 0.0319)^10, which gives us approximately 10313.