Preparation

Search the Internet to find a graph or table of values that shows how something is changing over time.The data should be real measured data (not some made-up values for a math problem example or something), and should show something that is changing linear or exponentially.

• The graph or table should show data for at least 4 time periods (years, months, etc.)
• Find data that appears to have a linear or exponential trend.
• Find data that someone hasn't already used.

What You Will Turn In

• Construct a document that includes a link to the data or graph you used (+2 pt for including, -10 for not including)
• Recreate the table (if it's huge, just include at least 4 time periods), or create a table from the graph you chose and include it in your document (6 pts.)
• State whether the data appears to be changing linearly or exponentially, and give a reason (4 pts)
• Find an explicit equation to model the data, clearly defining your variables and showing your work (10 pts)
• Use your model to make a prediction about the future (4 pts)

Example

Table 2 on page 2 ofthis document fromSnohomish County, WA shows the incidents of sexual orientation motivated hate crimes in Washington.

(http://www.co.snohomish.wa.us/Documents/Departments/Prosecuting_Attorney/Statistics.pdf)

1996	1016
1997	1102
1998	1260
1999	1317
2000	1299
2001	1393

While not perfectly linear, the trend appears roughly linear [don't just assume linearity! - make sure you can give a reason. If I graph your data and it looks exponential, you WILL lose points].Using 1996 as n=0, and using data from 1996 and 2001,

(1996) P₀ = 1016

(2001) P₅ = 1393

[FROM HERE, you would then follow the examples in the book to calculate the equation. IF your data is changing linearly, the procedure will be similar to the "population of elk" example. IF your data is changing exponentially, the procedure will be similar to the "carbon dioxide emissions" example. Suppose I followed the procedure, showing my steps, and came up with this equation:]

P_n = 1016 + 75n where n is years after 1996

Predicting in 2010 (n=14):

P₁₄ = 1016 + 75(14) = 2066

So if this trend were to continue at this rate, this model predicts that in 2010 there would be 2066 incidents of sexual orientation motivated hate crimes in Washington.

Again, this example was specific to linear growth. For an example using exponential growth, see the carbon dioxide emissions example in the book.

Please be details and Keyboard writing only plus screenshot.