Algebra 5-4  Using Graphs to Compare Linear Expressions

1.    Car speedy charges $60 to rent a car plus $.15 per mile.
       Car's R Us charges $45 to rent a car plus $.18 per mile.
       Assume that both places will rent you the exact same car.
       Let m represent the number of miles you drive and C
       represent the total cost in dollars.
        a.)  What is the cost to rent a car from Car speedy?  ______________

        b.)  What is the cost to rent a car from Car's R Us? ______________

        c.)  Using your TI-83 Plus, graph the two equations making sure that
              you pick an appropriate window for the graphing.

        d.)  According to your graph, at what mileage point will it cost the same amount
               to rent from Car Speedy and Car's R Us?
                 _______________

        e.)  Use an equation to determine if your answer to part d.) is correct.

        f.)  Graph the equations again.  Hit the 2nd button and then the Calc button
              above the trace button.  Hit button 5: Intersection. Hit Enter all three times
              when it asks First Curve, Second Curve, and Guess.
              What did it say was the point of intersection?            ______________
 
 
 

2.    Consider the following problem from 5-2.
       There are three surf shops from whom you can rent a surf board.
       Surf's Up charges a $20 fee and $6 an hour.
       Wave Riders charges a $30 fee and $4 an hour.
       Bahama Joe's charges a simple fee of $12 and hour.

        a.)  Graph the three equations above on your TI-83 Plus.
               Think about your window before graphing.

        b.)  How many intersection points do the three graphs have? ____

        c.)  From 0 to 3 1/3 hours from whom should you rent? _____________

        d.)  From 3 1/3 up to 5 hours from whom should you rent? ___________

        e.)  After 5 hours  from whom should you rent? _____________

        f.)  See if you can use your 2nd Calc button and the Intersection button
              to see how the above number were gotten.