Question

In Use the formula t =k that gives the time for a population, with a growth rate k, to double, to answer the following questions.

The growth model A = 5 e 0.005t describes the population, A, of a country in millions, t years after 2003.
a. What is the country's growth rate%?

Answer 1

The country's growth rate is 0.5%.

Step-by-step explanation:

The formula t = k is used to find the time it takes for a population to double, given a growth rate k. In this case, the growth model A = 5e^(0.005t) represents the population of a country in millions, t years after 2003. To find the country's growth rate in percent, we need to find the value of k. To do this, we can compare the formula with the general exponential growth formula, A = A0e^(rt), where A0 is the initial population and r is the growth rate. By comparing the two formulas, we can determine that the growth rate in percent for the country is 0.005 * 100 = 0.5%.