1. A 50 ft long bungee will stretch a certain amount, depending on how much the person doing the jump weighs. The following table tells how much a bungee cord will stretch for certain weights. The stretch is in addition to the original 50 ft length of the bungee cord.
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Write an equation that will predict the stretch distance for a given weight:
Use your equation to find the stretch distance for your weight.
If the concrete is 200 ft below the point where the bungee cord is attached, what is the heaviest "safe" weight for a 6 ft tall jumper? Assume the bungee cord is attached to the jumper's ankles.
2. A gas has a volume of 500cc at 27°C and a volume of 605cc at 90°C. The volume and temperature of any gas vary in a linear fashion. Use these two data points to write an equation relating the volume and temperature of this gas (y=volume, x=temperature).
At what temperature will the volume be 0? What is the significance of this temperature? (Hint: Ask a science teacher!).
3. The world record for the mile was 4:10 in 1923 and 3:49 in 1975. Assuming that the record improves in a linear fashion (which it has so far!), write an equation to predict the mile world record (in seconds) for a given year (y=record in seconds, x=year).
What should the world record be this year?
What should the world record be in 2001?
The world record was broken in 1993 by Noredine Morceli. What is the current world record in the mile? How does this compare to your prediction above?
4. The figure below represents four puzzle pieces that can be arranged in an 8x8 square and as shown. The area seems to magically increase by 1. The truth is that there is a slight gap along the diagonal that adds the extra unit. Prove that the pieces do not fit together. (Hint: if they did fit, points A, B, C, and D would all be co-linear).
Assume that the lower left corner of the rectangle is at (0, 0). Thus B is at (5, 3) etc.