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

The actual answer is 14,742 I got a 100% on my assignment using this answer.

Explanation:

Answer 2

Answer: 85688

Explanation:

The exponential decay function is given by :-

`y=Ae^(-rt)`, where A is the initial amount , r is the rate of decay (in decimal) and t is the time period.

The according to the question we have :_

`35542=Ae^(-0.22*4)\\\\\Rightarrow\ 35542=Ae^(-0.88)\\\\\Rightarrow\ 35542=A(0.41478291168)\\\\\Rightarrow\ A=(35542)/(0.41478291168)\\\\\Rightarrow\ A=85688.1973654\approx85688`

Hence, the initial population in the city before the epidemic broke out= 85688