Rearrange the boxes below to represent a model for the following situation. The population of a city with an initial amount of 20000 people decreases yearly al a rate of 8% if P represents the population after t years.

After "t" years the population of the city is given by: "P (t) = 20000 * (0.92) ^t"

Step-by-step explanation:

Since the population of this city decreases at a rate of 8%, then after the first year the population is:

P (1) = 20000 * (1 - 8/100) = 20000 * (0.92)

While after the second year it is:

P (2) = P (1) * (0.92) = 20000 * (0.92) * (0.92) = 20000 * (0.92) ²

And after the third year:

P (3) = P (2) * (0.92) = 20000 * (0.92) * (0.92) ² = 20000 * (0.92) ³

And so on, therefore after "t" years, we have:

P (t) = 20000 * (0.92) ^t