Question

In 2012, the population of a city was 5.02 million. The exponential growth rate was 3.58% per year. (a) find the exponential growth function

Answer 1

To find the exponential growth function for the city's population, you can use the formula:

P(t) = P₀ * e^(rt)

Where:
P(t) = Population at time "t"
P₀ = Initial population (in this case, 5.02 million)
r = Annual growth rate as a decimal (3.58% as 0.0358)
t = Time in years

Now, plug in the values:

P(t) = 5.02 million * e^(0.0358t)

This is the exponential growth function for the city's population in 2012, with an annual growth rate of 3.58%.