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

__3.4 PLANNING A SKATING PARTY JOHANNE T. HANSEN 7B May 29, 2011__ **Suppose your class is planning a skating party to celebrate the end of the school year. Your committee is in charge offinding a place to rent the in-line skates for a reasonable price. You get quotes from two companies:** **Roll-away skates charges 5$ per person.** **Wheelie's skate and Stuff charges $ 100 plus 5$ per person.** **Which company would you choose if you wanted to keep te cost to a minimum?** **Explain how you made your choice.** Suppose we are 20 students in our class. Roll-Away 20x5=100 dollars Wheelies 20x3+100=160 dollars. If we are 20 students in our class, then Roll-away would be best. The interesection between the two graphs is for 50 students. If there are more than 50 students, then Wheelies is the better one.

__FOLLOW UP__ **In these problems let //y// be the the total cost to rent skates and //x// the number of people attending the party.** 1.a. Suppose we are 20 atudents in our class. Roll-Away y=5x Wheelies 3x+100 b



> y-axis=-250 to 500 I selected these ranges because I think it makes a good view. 2.a. (8,40) is on the Roll-Away graph, it maens that if it comes 8 students, the Roll-Away will earn 40 dollars. b. (8,124) is on the wheelies graph, it means that if it comes 8 students, the Wheelies will earn 124 dollars. 3.a.   Roll-Away y-intercept=0 Wheelies y-intercept=100 b. It tells the rental if no students come to skate. d.   The y-intercept is where I put 0 students. Roll-Away y=5x 5 is the coefficent of x   Wheelies y=3x+100 3 is teh coefficent of x.   The coefficent of x means the cost for each student times the number of students. 6. If I have a budget of 250 dollars, I could rent 50 skates from both Roll-Aways and Wheelies
 * 1)  x-axis=-400 to 1000
 * 1)  The intersection is (50,250), it means that if you have 50 students, you will have to pay the same amount of money for both companies.
 * 1)  On the graph, y-intercept is on the y-axis, when the x-axis is 0
 * students || 0 || 1 || 2 || 3 ||
 * Roll-Away || 0 || 5 dollars || 10 dollars || 15 dollars ||
 * Wheelies || 100 || 103 dollars || 106 dollars || 109 dollars ||
 * 1)  The coeficent of x, is the number in front of x.
 * 1)  If 100 students are attending at the party, would choose the Wheelies because 100 commes after 50, and 50 is the intersection.