Respuesta :

This is an exponential equation that can be represented by the following:

f(x) = a(b)^x

In this case...

25143 = a(0.66)^3

25143 is the population after 3 hours.

3 is the amount of time in hours.

0.66 represents the percent of the population remaining after each hour (66% as there is a 34% decline each hour).

We must solve for a, which is the initial population.

First, simplify (0.66)^3 to 0.2874.

25143 = 0.2874a

Now divide both sides by 0.2874 to isolate a.

a = 87455

There were initially 87,455 people within the city. I wouldn't want to be in that place!