If a population of 6 million begins to increase at a rate of 0.2% each month, in how many months will it be 9 million? Round your answer to two decimal places.

Question

If a population of 6 million begins to increase at a rate of 0.2% each month, in how many months will it be 9 million? Round your answer to two decimal places. ​

Quizplus · Accepted Answer

The population grows exponentially, so we use the formula P = P0 * (1 + r)^t, where P0 is the initial population, r is the growth rate, and t is the time in months. Solving 9,000,000 = 6,000,000 * (1 + 0.002)^t gives t ≈ 202.94 months.

If a Population of 6 Million Begins to Increase at a Rate