Question

Olve the word problem

For a period of time, an island's population grows at a rate proportional to its population. If the growth rate is 3.8% per year and the current population is 1543, what will the population be 5.2 years from now

Answer 1

Explanation:

To solve this problem, we'll use the exponential growth formula:

P(t) = P0 * e^(rt)

Where P(t) is the population after t years, P0 is the initial population (1543), r is the growth rate (0.038), and t is the number of years (5.2).

P(5.2) = 1543 * e^(0.038 * 5.2)

Using a calculator or natural logarithm rules:

P(5.2) = 1543 * e^0.199

P(5.2) = 1543 * 1.22

P(5.2) = 1887.46

So the population will be approximately 1887.46 after 5.2 years.