# Exponential growth continuation homework

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function. For example, suppose a population of mice rises exponentially every year starting with two in the first year, then four in the second year, 16 in the third year, in the fourth year, and so on. The population is growing to the power of 2 each year in this case. In finance, compound returns cause exponential growth. The power of compounding is one of the most powerful forces in finance. This concept allows investors to create large sums with little initial capital.

## Programming

## Raya, Joe / WORKSHEETS

In Module 4, you were introduced to the concept of exponential functions that can be used to model growth and decay. In this exercise, you will use a Microsoft Excel spreadsheet to calculate the exponential growth of a population of your choosing. Click here to open the Microsoft Excel spreadsheet that you will use to perform the calculations for this assignment. Input a population value into the box next to Initial Populationon the spreadsheet. This population should be anything such as the people, animals, microorganisms, or plants.

### Exponential Growth

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Population can fluctuate positively or negatively and can be modeled using an exponential function. Population growth can be modeled by an exponential equation. The ratio of t to f is often simplified into one value representing the number of compounding cycles.