IM Alg1.5.6 Lesson: Analyzing Graphs

In the table, find as many patterns as you can. Use one or more patterns to help you complete the table. Be prepared to explain your reasoning.
The value of some cell phones changes exponentially after initial release. Here are graphs showing the depreciation of two phones 1, 2, and 3 years after they were released.
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[/img][br][br]Which phone is more expensive to buy when it is first released?
How does the value of each phone change with every passing year?[br]
Which one is falling in value more quickly? Explain or show how you know.[br]
If the phones continue to depreciate by the same factor each year, what will the value of each phone be 4 years after its initial release?[br]
For each cell phone, write an equation that relates the value of the phone in dollars to the years since release, [math]t[/math]. Use [math]v[/math] for the value of Phone A and [math]w[/math] for the value of Phone B.[br]
[size=150]When given data, it is not always clear how to best model it. In this case we were told the value of the cell phones was changing exponentially. Suppose, however, we were instead just given the initial values of the the cell phones when released and the values after each of the first three years.[/size][br][br]Use technology to compute the best fit line for each cell phone. Round any numbers to the nearest dollar.
Explain why, in this situation, an exponential model might be more appropriate than the linear model you just created.[br]
Match each situation with a graph that represents it. Record your matches and be prepared to explain your reasoning.
Close

Information: IM Alg1.5.6 Lesson: Analyzing Graphs