Rule+of+Four+Template+-+Sample

**Problem Title: Shirt Problem **
Statement of Problem: My boss gives me 5 shirts to sell. I make a $30 profit on each shirt I sell. What do I need to do: Use the Rule of Four to completely describe this problem. Questions: Solve each using your rule and your GeoGebra worksheet.
 * 1) If I sell 2 shirts, what is my profit?
 * 2) If my profit is $120, how many shirts must I sell?
 * 3) Can I make a profit of $100?

Solution:
Rule 1: Description of variables with units, domain of x, rule for y Let x= number of shirts sold Then x can have values: 0,1,2,3,4,5 Let y= //my profit in $// Then the relationship of x and y is: y=30*x

Rules 2-4: **GeoGebra worksheet with Algebra - Graph - Table** media type="custom" key="6368895"

Questions: 1. If I sell 2 shirts, what is my profit? y=30*2 y=60 ||
 * Answer: || Profit=$60. ||
 * Algebra: || x=2
 * Screenshot: || [[image:LF_ShirtProblem1.gif height="157"]] ||

2. If my profit is $120, how many shirts must I sell? 120=30*x 120/30=30*x/30 4=x x=4 || 3. Can I make a profit of $100? 100=30x 100/30=30x/30 3.3=x x is not a whole number. ||
 * Answer: || Sell 4 shirts. ||
 * Algebra: || y=120
 * Screenshot: || [[image:LF_ShirtProblem2.gif height="160"]] ||
 * Answer: || No. ||
 * Algebra: || y=100
 * Screenshot: || There is no point where y=100. ||