Question

A city doubles its size every 5 years. If the population is currently 469,900, what will the

population be in 20 years?

Answer 1

the population would be 7,518,400

469,900 • 2^20/5

* 20/5 is part of the exponent

Answer 2

7518400

Explanation:

Doubling time model:

`P= P_o 2^{(t)/(D)}`

Here, P is the initial value, D is the time taken to double the quantity, t is the given period of time.

`P_o = 469,900\\\\\\D = 5 \ years\\t = 20 \ years`

`P = 469,900 * 2^(20)/(5)\\\\P = 469,900 * 2^4`

= 469,900 * 2 * 2 * 2 * 2

= 7518400