Question

Suppose a city with a population of 100,000 has been growing at a rate of 2% per year if this were continues find the population of the city in 14 years

Answer 1

131,948

Explanation

We know that the city grows by 2 percent every year, so we multiply the initial population of 100,000 by 1.02. However, to represent this type of growth, we put the 1.02 to the power of t, or the number of years. We now have 100,000(1.02)^t. Replace t with 14 to get 100,000(1.02)^14. (1.02)^14 = 1.3194787; multiply that by 100,000 to get 131,947.87. Round this up to 131,948 since you can't have 0.87 of a person