Question

Jessica has been tracking the population of a town. The population was 8,230 last year and has been increasing by 1.25 times each year. How can Jessica develop a function to model this?

f(x) = (8230 ⋅ 1.25)x where 1.25 is the rate of growth

f(x) = 8230(1.25)x where 1.25 is the rate of growth

f(x) = 1.25(8230)x where 8230 is the rate of growth

f(x) = 8230(x)1.25 where 8230 is the rate of growth

Answer 1

Initial population = 8230

The population is:
After 1 year, 8230(1.25)¹
After 2 years, 8230(1.25)²
...
After x years, 8230(1.25)ˣ

The population after x years is
f(x) = 8230 (1.25)ˣ

Answer: 8230(1.25)ˣ, where 1.25 is the rate of growth.
The second answer is correct.