Today is Wednesday 112807

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Today is Wednesday 11-28-07

• Come in, pick up your calculator, sharpen your
  pencil, and have a seat.
• Get out your notes and homework from yesterday
  and some paper to continue notes for today.
  Label your paper Rate of Change
• Sit quietly until the bell rings.

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How many ways can we show slope?
The line is rising, so there is a positive slope.
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The line is falling, so there is a negative slope.
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The line does not have rise, but there is run.
This line has a zero slope.
If this were a ski slope, this is comparable to
zero miles an hour.
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The line has rise, but no run. The slope is
undefined.
If this were a ski slope, this is comparable to
death because if you tried...
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A few more notes

• The number that is multiplied (in front of) by
  variable is called the coefficient.
• Slope intercept form of an equation
• y mx b
• The number in front of x is the coefficient AND
  the slope.
• A slope that is a whole number is steeper than a
  slope with a fraction.

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Finding Rate of Change

• Pick out the two ordered pairs from your word
  problem.
• Use the slope formula to find your rate of change.

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1

• In 1989 a movie ticket cost 2.50. In 1999 a
  movie ticket cost 6.00. Find the average rate
  of change of the price of the movie ticket in
  dollars per year.

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2

• You are parachuting. At time t 0 seconds,
  you open your parachute at a height h 2500
  feet above the ground. At time t 35 seconds,
  you are at a height h 2115 feet. What is
  your rate of change in height per second?

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3

• In 1989 a postage stamp cost .25. In 1999 a
  postage stamp cost .33. Find the average rate
  of change in postage in cents per year.

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4

• In 1975 a 4-function calculator cost 125. In
  1995 a 4-function calculator cost 5. Find the
  average rate of change in the cost of
  calculators in dollars per year.

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5

• In 1995 a public library had 16,000 books on
  its shelves. In 1999 the library had 19,000
  books. Find the average rate of change in the
  number of books per year.

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• At Memorial Hospital there were 600 births in
  1998. In 2000, there were 550 births. Find
  the average rate of change in number of births
  per year.

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Scatter Plots

• If you draw a line in the middle of the points is
  the lines slope positive or negative?
• Positive slopes have a positive correlation.
• Negative slopes have a negative correlation.
• If you cant draw a line there is no correlation.

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Homework

• Complete Practice Quiz
• Study for Quiz tomorrow!!