Question

2. Determine whether the following statement is true or false and then explain wit an example: to downturn the a small town in Nevada lost 20% of its population. However, after a significant improvement in the economy, this same town then gained 20% more people. In the end the town's population was the same as it was before the downturn."

Answer 1

The statement is false.

For example, suppose the poputation of the town befoe the downturn is 100. After the downturn, the population becomes 0.8 x 100 = 80. Now after the inprovement, the new population will be 1.2 x 80 = 96. Which is less than the original population.