Explore how different contexts show growth or decay, such as percent, dollar amount, or multiplication factor each year. Compare linear and exponential models to see how they change over time.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
What distinguishes a linear model from an exponential model?
Try modifying the description in different ways. How can you change the description so that the model changes from a linear to an exponential function?
Try modelling a product that increases in value by a factor of 2. Change the first drop down from "increasing" to "decreasing" to model a product that decreases in value by a factor of 2. How does the equation of the model change? Why?
Try modelling a product that increases in value by 10% per year. Change the first drop down from "increasing" to "decreasing" to model a product that decreases in value by 10% per year. How does the equation of the model change? Why?