Question

At the beginning of a population study, a city had 350,000 people. Each year since, the population has grown by 4.4%.

Let t be the number of years since start of the study. Let y be the city's population.
Write an exponential function showing the relationship between y and t .

Answer 1

Answer: The exponential function that models the population growth of the city over time is:

y = 350,000 * (1 + 0.044)^t

where t is the number of years since the start of the study, y is the city's population, and 0.044 is the annual growth rate expressed as a decimal.

The function is an example of exponential growth, where the population is increasing at a constant rate over time.

Explanation: