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Question:

Use the tables below to draw linear graphs. (a) The number of days a hillside city received snow in different years. Year | Days
---|---|2003 | 8
2004 | 10
2005 | 5
2006 | 12
(b) Population (in thousands) of men and women in a village in different years.

Year Men Women
2003 12 11.3
2004 12.5 11.9
2005 13 13
2006 13.2 13.6
2007 13.5 12.8

Solution:

(a) Graph for Snow Days:

To draw a linear graph for the number of snow days, plot the years on the x-axis and the number of days on the y-axis. Since we are asked to draw a linear graph, we will connect the points with straight lines, even though a perfectly straight line may not perfectly represent the data. This is an approximation.

  • X-axis: Years (2003, 2004, 2005, 2006)
  • Y-axis: Number of days (0 to 12, or a slightly larger range to allow for visual clarity)

Plot the points (2003, 8), (2004, 10), (2005, 5), (2006, 12) and connect them with straight line segments.

(b) Graph for Population:

For the population data, create a graph with two lines, one for men and one for women. Again, we are approximating a linear trend.

  • X-axis: Years (2003, 2004, 2005, 2006, 2007)
  • Y-axis: Population (in thousands) (0 to 14, or a slightly larger range for visual clarity)

Plot the points for men: (2003, 12), (2004, 12.5), (2005, 13), (2006, 13.2), (2007, 13.5) and connect them with a straight line.

Plot the points for women: (2003, 11.3), (2004, 11.9), (2005, 13), (2006, 13.6), (2007, 12.8) and connect them with a separate straight line.

Note: The instructions are to draw linear graphs. These are approximations since the data might not perfectly fit a linear model. A more sophisticated approach might involve using regression techniques to find the best-fitting line if a more accurate representation were required.