Question

In 2012, the population of a city was 6.72 million. The exponential growth rate was 1.83% per year. Find the exponential growth function.

Answer 1

The exponential growth function for the city's population is P(t) = 6.72 · (1 + 0.0183)t.

Step-by-step explanation:

The exponential growth function is given by the formula:

P(t) = P0 · (1 + r)t

Where:

• P(t) is the population at time t
• P0 is the initial population
• r is the growth rate per time period

In this case, the initial population (P0) is 6.72 million, the growth rate (r) is 1.83% per year, and we want to find the population at a specific year (t).

Let's say we want to find the population in the year 2014 (t = 2), we can use the formula as follows:

P(2) = 6.72 · (1 + 0.0183)2 = 7.078464 million

Therefore, the exponential growth function for this city is P(t) = 6.72 · (1 + 0.0183)t.