3.1
Graphs, Windows, & Ordered Pairs
Homework: Odds 1-9, 13, 19, 21, 25, Odds 29-45
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A.
Bar Graphs: Show comparisons
See Example 1 (p. 134)
Approximately how many drinks would a 160 lb person have consumed to have a blood-alcohol level of .10%? 5 drinks
What can be concluded about the weight of someone who can consume 6 drinks
without reaching a blood-alcohol level of .10%? The
weight is greater than 200 lbs.
B. Pie Charts: Show what percent of the whole each
item represents
See Example 2 (p. 135)
Susan pays 22% of taxable income of $55,000 in taxes. How much of Susan’s
taxes go to Law Enforcement?
Step 1: 55,000 x .22 is $12,100 for taxes
Step 2: 12,100 x .02 is $242 of taxes for Law
Enforcement
C. Line Graphs: Illustrate change over time
See Example 3 (p. 136)
How many months of regular exercise are needed to lower the pulse rate to 60 beats per minute? 4 months
How many months of regular exercise are needed to lower the pulse rate to
below 70 beats? about 2 and
one-fourth months
D. Making Graphs on the Rectangular Coordinate
System
The rectangular coordinate system divides the plane into 4 quadrants. The position of each point on the coordinate system can be given by an ordered pair (x, y).
The quadrants are numbered beginning with the upper right quadrant, which is Quadrant I, and proceeding counterclockwise, to Quadrant II, Quadrant III, and Quadrant IV. In Quadrant I, both coordinates are positive; in Quadrant II, the x-coordinate is negative, the y-coordinate is positive; in Quadrant III, both coordinates are negative; and in Quadrant IV, the x-coordinate is positive, the y-coordinate is negative.
Points are plotted by moving to the position on the x-axis as given by the x-coordinate of the ordered pair, then moving up or down as given by the y-coordinate.
Points on the x-axis all have a y-coordinate of zero. Points on the y-axis all have an x-coordinate of zero.
Plot
(-2, 1) in red, (-1, -3) in blue,
and (4, -4) in green on a coordinate
system:
Tell the quadrant in which each of the points is located.
The
red point is in Quadrant II, the blue point in Quadrant III, and the green
point in Quadrant IV.
Given a graph with plotted points, determine the coordinates or ordered pair
for each of the points:
The blue point is (-2, 1). The red point is (2, 4). The green point is (4,
0). The lavender point is (0, -3)