Using the following table of a function that models exponential growth, determine which one of the following models the population as a function of time.

Question

Quizplus · Accepted Answer

The table shows exponential growth, with the population increasing rapidly over time. The general formula for exponential growth is y = ab^x, where a is the starting value, b is the growth factor (multiplier), and x is the time. Looking at the table, we can see that the population starts at 5 and increases by a factor of 2 every hour. Therefore, the model that best fits the data is y = 5(2)^x, which corresponds to choice C.

Using the Following Table of a Function That Models Exponential