Exploring Linear and Exponential Growth Models
Exploring Linear and Exponential Growth Models
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.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
What distinguishes a linear model from an exponential model?
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Open-ended question 2
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?
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Open-ended question 3
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?
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Open-ended question 4
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?
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Prerequisite Resources
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