Answer: the best prediction for the elephant population in the year 2013 is approximately 4784
Step-by-step explanation: first, we need to calculate the decrease in population each year. The population is decreasing at a rate of 1.6% per year. To find the decrease in population, we can multiply the current population by 1.6% (or 0.016).
Decrease in population each year = 5200 * 0.016 = 83.2
Next, we need to find the population in the year 2013. Since the population is decreasing, we need to subtract the decrease in population each year from the previous year's population.
Population in 2013 = Population in 2008 - (Decrease in population each year * Number of years)
Number of years from 2008 to 2013 = 2013 - 2008 = 5
Population in 2013 = 5200 - (83.2 * 5) = 5200 - 416 = 4784