1. By: Aaron Ramos and Itzel Lazcano

2. Questions: 1a and 5

3. Direct Variation: Question #1(a) The first step in direct variation is to plug in all given values into the equation y=kx.  y-3x=0  Since then equation is not in y=kx form, you must manipulate the equation to get y by itself.  y-3x/-3x=0/-3x  y=0/-3x  y=kx form  once the equation is in y=kx form then you can determine whether y varies directly with x and also determine the constant of variation.  The answer is: Yes and the constant of variation is 3

4. Linear Modeling: Question #5 The first thing that you will be needing to do this problem is your graphing calculator. Make sure that you have turned on your Plot 1 and Plot 2 so that you will see the graph.  To do this turn your calculator on and follow these steps- a) press [2 nd ] and STAT PLOT b) once on Plot1 press [ENTER] twice. c) repeat for PLOT2 and your set.

5. Question #5 continued Next up is plugging in numbers to get your graph. To do this click STAT and [ENTER]. After doing this you should see L1 L2 L3 and a column for each. We are only using L1 and L2 so don't worry about the rest. In L1 enter the numbers from “Years since 1960” on your quiz one at a time. In L2 enter the numbers from “Winning time” on your quiz one at a time as well. Then click graph. Once you graph it nothing will appear

6. Continued Because the numbers are too far up. So click ZOOM, 3 and [Enter] then again ZOOM, 3 and [Enter] then move your cursor to where the points are and zoom in again. Now that you have your graph just sketch it on the quiz. To find the line of best fit click STAT move one space to the right with the arrows and hit number 4. After that press [Enter] and then it should give you a y= a= b= and so you just plug the a= and b= into the y= to get your line of best fit and write the equation on your quiz.

7. “years since 1960” on your quiz only goes up to 44 representing the year 2004 and you need to find the winning time for 2012. To find the winning time for '12 you would use 52 because the years move up by four and when you move up to 48 it would be 2008 and 52 would be 2012. Now that you have 52 as your years all you need is to find the time by plugging in 52 for X on your line of best fit equation and your done.