Mathematical+Reflections+p.+36

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Today's Date: September 8th, 2008 Student's inital: YRK

**__Mathematical Reflection #2 (p.36)__**

 * In problem 2.1 you investigated the relationship between length and breaking weight for a bridge.
 * In problem 2.2 you investigated the relationship between weight and distance from the fulcrum for a teeter-totter.
 * In problem 2.3 you investigated the relationship between speed and time for a trip.

1. What common patterns of change did you find in the tables and the graphs of these realtionships? Did all three relationships fit the same pattern?

From all the tables and graphs, I found that they all had non linear relationships. They didnt fit the same pattern because non linear relationships dont have same patterns.

2. How are the patterns in the tables and the graphs of theses relationships different from the patterns in the tables and the graphs of the linear relationships you explored in Investigaton 1?

The patterns of non linear relationships are different with the patterns of linear relationships because linear relationships has a constant rate of difference between each numbers but non linear relationships are not constant between each numbers.

3. There are many types of non linear realtionships, some of which you will explore later this year. The type if relationship you studied in this investigation is called an inverse relationship. Can you think of some reasons this name is appropriate?

I am guessing that an inverse relatonship is an inverse relationship because when one value increases, the other decreases as the chart continues.

When the dots in the graph are lined up evenly and can draw a straight line across all the dots, then it is called the 'linear relationship' but when the dots do not cross all the lines or make a curve then it is called non linear relationship.
 * __SUMMARY__**

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