Monday, January 25, 2010

Big Exam Hint

OK everyone - here is the big hint as promised. Here is the question word-for-word from the exam. You may write this answer on paper and bring it in, but you must not share it.

"Our front door has a hook andwe did a demonstration on it. A foam cup was hung from the hook and the length of the elastic was measured. With no pennies in the cup the elastic stretched 26 cm. The more pennies that were put into the cup the longer the elastic band would stretch. Finally, we had 130 pennies in the cup. The data points (0,26) and (130, 39) are shown on the graph below. Draw a line between these two points and answer the question that follow."

a) What kind of variation is this? Answer: Partial variation
b) What is the dependent variable and what does it represent? Answer: the dependent variable is S and it represents the amount of stretch in cm.
c) What is the slope of this line? (Include units) Answer: 0.1 cm per penny
d) Give a formula for this graph. Answer: S = 0.1n + 26
e) Approximately how far will the elastic stretch with 40 pennies? Answer: Approx. 30 cm