Question

An epidemic has hit Clinton City. Its population is declining 22% every hour. In just 4 hours, there are only 35,542 people left in the city. What was the initial population in the city before the epidemic broke out?

Answer 1

After each hour the population declines to 100-22 = 78% or 0.78. So:-

35,542 = A(0.78)^4 where A is the initial opulation

A = 35,542 / (0.78)^4

= 96,020 answer