1. College Algebra Math 130 Amy Jones Lewis

2. Moving a Sand Pile  A relation is a function if for each input there is exactly one output.  Determine whether the relation below is a function.  (2, 6), (3, 9), (4, 12), (5, 15), (6, 18)  (3, 3), (4, 1), (4, 6), (5, 0), (7, 5)  (1, 2), (2, 3), (3, 0), (4, 1), (5, 0)  The set of all input values of a function is the domain of the function, and the set of all output values is the range of the function.

3. Solving Equations  300 – 5f = 725  1 -.15t = 9  10 = 14 – 2t

4.  Write a story to describe each graph.  How would you describe the eating patterns of the six people shown? Kettle Korn Tell a Story Graphs

5. Amount of Kettle Korn Time

6. Amount of Kettle Korn Time

7. Amount of Kettle Korn Time

8. Amount of Kettle Korn Time

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10. Amount of Kettle Korn Time

11. Donny’s Dinner Dilemma

12. The graphs show data for three dinner plans.  Make observations about each of the graphs.  Find a way to determine the cost for any number of meals purchased on each dinner plate and explain your reasoning.  Which dinner plan is best? Donny’s Dinner Dilemma

13.  Begin by individually making observations about each of the graphs, and then share your observations with your small groups.  Working with your group, find a way for determining the cost for any number of dinners in each plan. (Write an equation.)  Decide which plan is best. Donny’s Dinner Dilemma

14.  If you only had $45 to spend on food for the week, which dinner plan should you buy?  Does it make sense to connect the points in the dinner plan graphs? Why or why not? Donny’s Dinner Dilemma

15.  Describe another situation besides dinner card plans that would generate a formula and a graph similar to the graph of Plan A or Plan B.  Describe another situation that would give you a formula and a graph similar to the Regular Price Plan. Donny’s Dinner Dilemma

16.  What is the actual cost per meal for each of the plans if you consider the “activation fee”?  Graph the actual cost per meal as a function of the number of meals for each of the dinner card plans. (You can do this either by hand or with a graphing calculator.) Donny’s Dinner Dilemma (Hint -- If you buy two meals in Plan A the cost is $8 per meal plus $4 for the dinner card, so the actual cost per meal is $10).

17. Discussing the graph  List all of the pertinent information that can be read from the graph. (i.e. intersection points, when one deal is better than another…)  How would you describe the graph? Donny’s Dinner Dilemma

18. Graph of Cost Per Meal Donny’s Dinner Dilemma

19. Five Different Representations of a Function Language TableContext GraphEquation

20. Homework  Continue working on Donny’s Dinner Dilemma  Next Class: Wednesday, October 6