An epidemic has hit minecole city. its population is declining 34% every hour. in just 3 hours, there are only 25,143 people left in the city. what was the initial population in the city before the epidemic broke out? !

The answer is 87,455

P(x) = P(0) * nˣ
P(x) - the final population after period x
P(0) - the initial population
n - the growth factor in decimal
x - period of time

x = 3 hours
P(3) = 25,143
P(0) = ?
n = 100- 34% = 66% = 0.66

P(x) = P(0) * nˣ
25,143 = P(0) * 0.66³
25,143 = P(0) * 0.287496
P(0) = 25,143 / 0.287496
P(0) ≈ 87,455