Question

The population of Smallville can be found by the equation Pt) = le", where P(t) is the

population at time t, r represents the rate of growth, and I is the initial population. If the town
grows at a rate of 17% per year, and there are 225 residents in 1950, what is the population
of the town in 1962?

Answer 1

The population of the town in the year 1962 will be 1730.

Explanation:

The population of Smallville can be found by the equation
`P(t) = Ie^(rt)`, where P(t) is the population at time t, r represents the rate of growth, and I is the initial population.

Now, if there are 225 residents in 1950 and the population of the town grows at a rate of 17% per year, then the population of the town in the year 1962 will be
`P(12) = 225 e^(0.17 * 12) = 1730` (Approximate)