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6.2 Learning about Rate of Change in Linear Functions Using Interactive Graphs

Beginning to understand the relationship between change and accumulation is a precursor to understanding calculus. This example illustrates the use of dynamic graphs to learn about change and linear relationships, as described in the Algebra Standard.  

 

The following links to an updated version of the e-example.

6-2-50x50.jpg
 
Cost per Minute  (6.2)

Explore a linear function or a piecewise function comparing units vs. cost per unit in order to find the total cost of a phone plan.  

 


The e-example below contains the original applet which conforms more closely to the pointers in the book.

 

In this two-part example, users can drag a slider on an interactive graph to modify a rate of change (cost per minute for phone use) and learn how modifications in that rate affect the linear graph displaying accumulation (the total cost of calls). 

6-2-1-60x53.jpg  Constant Cost per Minute  (6.2.1)

The cost per minute for phone use remains constant over time
6-2-2-60x45.jpg  Changing Cost per Minute  (6.2.2)

The cost per minute for phone use changes after the first sixty minutes of call..

 



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