A town starts with 100 people and grows by 9% per year, with x representing the number of years. Which of the following functions model this behavior?

Question

Quizplus · Accepted Answer

The function that models the described scenario is an exponential growth function, which has the form f(x) = ab^x, where a is the initial population (100 people) and b is the growth factor (1 + 9% = 1.09). Therefore, the function is f(x) = 100(1.09)^x, which is option B.

A Town Starts with 100 People and Grows by 9