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Section 1-6
Choosing a Good Display
Warm-up
You have the following points: A (-2, 3), B (3, -2), and
C (4, 4). Find the slopes of each of the possible lines.



         AB               AC               BC
         -1               1/6               6
Time-series data: Gives data spread out over time

Scatterplot: A graph that is made up of a collection
 of points that are not connected
Line Graph: A graph where points are connected by
 line segments

Average Rate of Change: A comparison between two
 values; compares the change between two points
Slope: Another word for the average rate of change
                      (y2 - y1)
                   m=
                      (x2 - x1)
Example 1
Consider the prices of gold in dollars/fine oz between
                  1975 and 1995.

 Year 1975 1980 1985 1990 1991 1993 1995

Price 161 613 318 385 363 361 385
 Calculate the average rate of change in the price of
        gold in the following time intervals:
     Between 1985                Between 1990
        and 1990                    and 1995
 13.4 dollars per fine oz       0 dollars per fine oz
Create a scatterplot and
      a line graph

Let’s make a scatterplot of the data in our
 graphing calculators, then turn it into a
               line graph
Example 2
Some new faucets, shower heads, and toilets use less
 water than old ones. Due to the U.S. Energy Policy
  Act of 1992, the amount of water used by these
    fixtures was expected to change as follows:

          Year         1995 2000 2010 2020 2030

 Water use (billion cubic
                          25.2 24.0 20.8 16.9 16.1
        meters)

 Indicate whether you believe each of the following
  would be a good graph and support your answer.
a. Circle Graph                          b. Bar Graph
     1995      2000
                                      26.0
     2010      2020
                                             25.2 24.0
     2030
                                      19.5               20.8
                                                                16.9 16.1
    15.6% 24.5%
                                      13.0
  16.4%
                                       6.5
            23.3%
    20.2%                               0
                                             1995 2000 2010 2020 2030




                      26.0
                      19.5
                      13.0
                       6.5
                        0
            1995        2000   2010      2020            2030

                      c. Coordinate Graph
Homework


 p. 50 #1 - 20
Section 1-6

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Section 1-6

  • 2. Warm-up You have the following points: A (-2, 3), B (3, -2), and C (4, 4). Find the slopes of each of the possible lines. AB AC BC -1 1/6 6
  • 3. Time-series data: Gives data spread out over time Scatterplot: A graph that is made up of a collection of points that are not connected Line Graph: A graph where points are connected by line segments Average Rate of Change: A comparison between two values; compares the change between two points Slope: Another word for the average rate of change (y2 - y1) m= (x2 - x1)
  • 4. Example 1 Consider the prices of gold in dollars/fine oz between 1975 and 1995. Year 1975 1980 1985 1990 1991 1993 1995 Price 161 613 318 385 363 361 385 Calculate the average rate of change in the price of gold in the following time intervals: Between 1985 Between 1990 and 1990 and 1995 13.4 dollars per fine oz 0 dollars per fine oz
  • 5. Create a scatterplot and a line graph Let’s make a scatterplot of the data in our graphing calculators, then turn it into a line graph
  • 6. Example 2 Some new faucets, shower heads, and toilets use less water than old ones. Due to the U.S. Energy Policy Act of 1992, the amount of water used by these fixtures was expected to change as follows: Year 1995 2000 2010 2020 2030 Water use (billion cubic 25.2 24.0 20.8 16.9 16.1 meters) Indicate whether you believe each of the following would be a good graph and support your answer.
  • 7. a. Circle Graph b. Bar Graph 1995 2000 26.0 2010 2020 25.2 24.0 2030 19.5 20.8 16.9 16.1 15.6% 24.5% 13.0 16.4% 6.5 23.3% 20.2% 0 1995 2000 2010 2020 2030 26.0 19.5 13.0 6.5 0 1995 2000 2010 2020 2030 c. Coordinate Graph
  • 8. Homework p. 50 #1 - 20