Dr. Jennifer L. Bell, © 2011, LaGrange High School, LaGrange, Georgia (MCC9‐12.A.REI.4b; MCC9‐12.F.IF.4; MCC9‐12.F.IF.5; MCC9‐12.F.IF.6; MCC9‐12.F.IF.7a;

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Dr. Jennifer L. Bell, © 2011, LaGrange High School, LaGrange, Georgia (MCC9‐12.A.REI.4b; MCC9‐12.F.IF.4; MCC9‐12.F.IF.5; MCC9‐12.F.IF.6; MCC9‐12.F.IF.7a; MCC9‐12.F.IF.8a; MCC9‐12.A.CED.1; MCC9‐12.A.CED.2; MCC9‐12.F.BF.3)

Today’s Special Group Rates: A group of 20 costs $40 per person. For every extra person, you save 50¢ per person. (Example… a group of 21 costs $39.50 each.) For groups below 20, it costs 50¢ more for each person below 20. (Example… a group of 17 costs $41.50 each.) # in groupPrice per personTotal $

number of people in the group

Questions 1.In order to get the most money from a group, how many people should there be in a group? _____________ 2.What is the maximum revenue? ______________________________ What is the term for this characteristic? _________________

3.What happens at 0 people and 100 people? _____________________ What is the term for this characteristic? ________________ 4.What happens after 100 people? Does this make sense? Explain.____________________________

5.Write the quadratic function in vertex form. ___________________ 6.Describe all transformations compared to x 2. ________________ _____________________________

number of people in the group

5.Write the quadratic function in vertex form. ___________________ 6.Describe all transformations compared to x 2. ________________ _____________________________

7. Describe all characteristics of this function.