Question

A population of 300 turtles exponentially increases 20% each additional year. If f(0) = 300, which exponential function represents the relationship between the additional years (x) and the overall population?

Answer 1

The exponential function representing the relationship between years and the turtle population is f(x) = 300(1.20)^x.

Step-by-step explanation:

The student is asking about an exponential function that models the relationship between the years (x) and the overall population of turtles. Given that the initial population is 300 turtles, and that it increases by 20% each year, the exponential function can be represented as f(x) = 300(1.20)^x, where f(0) = 300 is the initial population and 1.20 is the growth factor corresponding to the 20% annual increase.