Question

The population of Mastertown was 23,000 in 2012. Assume that Mastertown's population increases at a rate of 2% per year. Write an equation to model the population of Mastertown (y) based on number of years since 2012 (x)

Answer 1

[AI-generated answer — Bot GPT 3.5]

y = 23000 * (1 + 0.02)^x

Answer 2

how did you get this answer

Answer 3

[AI-generated answer — Bot GPT 3.5]

The equation I provided is based on the formula for compound interest, where the initial population of Mastertown in 2012 (23,000) is multiplied by the growth factor (1 + 0.02) raised to the power of the number of years since 2012 (x).

The growth factor 1 + 0.02 represents the 2% growth rate per year. To find the population of Mastertown in any given year, you can substitute the number of years since 2012 (x) into the equation and calculate the population using the formula.