NAME: ____________________________________________________ PERIOD: __________ DATE: _______________

4th Period Extension 9.17.13 THINK ABOUT IT 1. Think about a situation in which variable y depends on variable x. (For example, y might be profit and x the number of items sold.) If y increases as x increases, how would this appear in a table? How would it appear in a graph?

2. Now think about a situation in which variable y decreases as variable x increases. (For example, y might be the amount of gasoline in your car on a trip and x the time you have been traveling.) How would this be indicated in a table? In a graph?

3. In a coordinate graph of two related variables, when do the points lie in a straight line?

4. In a coordinate graph of two related variables, when is it appropriate to connect the points?

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NAME: __________________________________________________ PERIOD: __________ DATE: _______________

4th Period Extension 9.17.13 THINK ABOUT IT Linear patterns can be recognized in several different representations of a relationship between two sets of quantities. Sometimes we look for the relationship in graphs, tables, or symbolic rules. Describe how you can tell whether a situation is or can be a linear model by looking at the information below. 1. a scatter plot of the data __________________________________________________________________________________________________ __________________________________________________________________________________________________

2. a table of the values __________________________________________________________________________________________________ __________________________________________________________________________________________________ 3. the equation of the relationship __________________________________________________________________________________________________ __________________________________________________________________________________________________

4. a verbal description of the problem

__________________________________________________________________________________________________ __________________________________________________________________________________________________

4th period extension 9 17 13