3.4+Planning+a+Skating+Party+10-11

Jeramiah Seidl Sunday, May 29, 2011 Math 7D = = = =  ** Moving Straight Ahead ** 3.4 Planning a Skating Part = = Big Idea: Many real world situations can be modeled and predicted using mathematics.

Investigation 3: Exploring Lines with a Graphing Calculator

Essential Question #3: How can technology help us explore linear patterns in the world?

Question: Suppose your class is planning a skating party to celebrate the end of the school year. Your committee is in charge of finding a place to rent in-line skates for a reasonable price. You get quotes from two companies. = = = 1. I choose the Roll – Away skates because when you graph the two equations of Roll - Away skates (y=5x) and Wheelies Skates and Stuff (y=3x+100) Roll - Away skates has the lower price until about 250 people. Most likely there aren’t 250 students in the class so Roll -Away skates is the best price for the class. =

Follow-Up

1.a. For roll away the equation is y=5x and for Skates and Stuff the equation is y=3x+100.

2.b. 1.c. 1-80,1-40 I choose these because the y-axis is 1-4 and the x-axis is 1-80. = = = 2.a. On Roll-Away Skates = = 2.b. On Wheelie’s Skates and Stuff = 2.c. The intersection is at 280

3.a. (0,100)

3.b. Where the amount of money it starts off with.

3.b. Where the amount of money it starts off with.

3.c. When there is a other starting point in than zero. When the equation has a addition.

3.d When y is zero the x shows the y-intercept.

4. The coefficients were 5&3.

5. Wheelie would be cheaper now so I would buy from them.

6. I could rent 50 skates from Rollaway and 650 skates from Wheelies skates.