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Spring Break and Linear Functions

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Scenario This year your parents are allowing you to go on a spring break trip with your friends. They don’t quite trust you driving their own vehicle so they plan on renting a car for you. Your parents will decide on your destination based on the cost and recommendations of the rental options that you will provide them. This year your parents are allowing you to go on a spring break trip with your friends. They don’t quite trust you driving their own vehicle so they plan on renting a car for you. Your parents will decide on your destination based on the cost and recommendations of the rental options that you will provide them.

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Rental Agencies Avis Rental Avis Rental Mileage rate: 20 cents per mileMileage rate: 20 cents per mile Hertz Hertz Mileage rate: 18 cents per mileMileage rate: 18 cents per mile Enterprise Enterprise Mileage rate: 13 cents per mileMileage rate: 13 cents per mile Dollar Dollar Mileage rate: 15 cents per mileMileage rate: 15 cents per mile

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Rental Guidelines When calculating rental cost… When calculating rental cost… Use links provided for initial car rental costsUse links provided for initial car rental costs Use mileage rates given on previous slide. Cost per mile as well as initial rental cost are the only 2 factors to consider.Use mileage rates given on previous slide. Cost per mile as well as initial rental cost are the only 2 factors to consider. Trip is for 1 week, returning vehicle to the same location you pick up fromTrip is for 1 week, returning vehicle to the same location you pick up from Ok to choose type of vehicle (ex. Economy, Compact, Luxury) you desire, but must choose same type for all 4 agenciesOk to choose type of vehicle (ex. Economy, Compact, Luxury) you desire, but must choose same type for all 4 agencies Do not add any other fees to rental (ex. Insurance) or use any discountsDo not add any other fees to rental (ex. Insurance) or use any discounts

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Linear Functions Create a linear cost function for each of the 4 rental options. Create a linear cost function for each of the 4 rental options. Create a table that represents the cost options for every 250 miles up to 3000 total miles Create a table that represents the cost options for every 250 miles up to 3000 total miles Represent your equations graphically using your graphing calculator or… Represent your equations graphically using your graphing calculator or… Free Online Graphing CalculatorFree Online Graphing CalculatorFree Online Graphing CalculatorFree Online Graphing Calculator Use your graphing calculator to create an approximate representation of your graph on the poster board provided (be sure to label accordingly) Use your graphing calculator to create an approximate representation of your graph on the poster board provided (be sure to label accordingly)

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Analyze Your Data Intervals: Which rental agency has the best initial deal and for how many miles will this be the best deal? Intervals: Which rental agency has the best initial deal and for how many miles will this be the best deal? Intervals: At what mileage marker does another rental option become the best option, for how long is this the best option? Intervals: At what mileage marker does another rental option become the best option, for how long is this the best option? Will there be a distance where a rental agency will be the best option for an infinite amount of miles? Which option is this and what is the mileage interval? Will there be a distance where a rental agency will be the best option for an infinite amount of miles? Which option is this and what is the mileage interval?

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Your Destination Recommend to your parents what destination you which to attend Recommend to your parents what destination you which to attend Use to determine the round trip mileage Use to determine the round trip mileagewww.mapquest.com Calculate the total rental costs for the spring break destination that you recommend Calculate the total rental costs for the spring break destination that you recommend

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Report on Discoveries Assume your parents are the audience to which you are preparing a 1-2 page report as well as a graphical representation of your functions Assume your parents are the audience to which you are preparing a 1-2 page report as well as a graphical representation of your functions Keep in mind that your parents are also English teachers and will assess for proper grammarKeep in mind that your parents are also English teachers and will assess for proper grammar Report should contain the functions you created and the thought process behind the creationReport should contain the functions you created and the thought process behind the creation Report should also contain the procedures and calculations to discovering the answers to the questions on the previous 3 slidesReport should also contain the procedures and calculations to discovering the answers to the questions on the previous 3 slides Evaluate your findings: How was the representations you created helpful in determining the best/worst rental agencies? Which representation did you feel was the most helpful to evaluate the 4 agencies?Evaluate your findings: How was the representations you created helpful in determining the best/worst rental agencies? Which representation did you feel was the most helpful to evaluate the 4 agencies?

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Materials Poster Board (to be provided) Poster Board (to be provided) Colored Markers (to be provided) Colored Markers (to be provided) Graphing Calculator Graphing Calculator Performance Task Rubric.doc Performance Task Rubric.doc Performance Task Rubric.doc Performance Task Rubric.doc Websites Websites online-graphing-calculator.phphttp://www.mathworksheetsgo.com/tools/free -online-graphing-calculator.phphttp://www.mathworksheetsgo.com/tools/free -online-graphing-calculator.phphttp://www.mathworksheetsgo.com/tools/free -online-graphing-calculator.php

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