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?

And we want to find the initial population, if we use the initial condition we have:

And solving for the initial population we got:

[tx] P_o = \frac{35542}{(1-0.22)^4} =96020.387[/tex]

Step-by-step explanation:

For this case we know that the population is declining 22% every hour.

And we can use the following expression to model the population:

Where P represent the population and t the time in hours

We know the following condition:

And we want to find the initial population, if we use the initial condition we have:

And solving for the initial population we got:

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead