Use the table and image to answer the question.

x-values (tables) y-values (people)
2 6
4 12
6 18
8 24
Plot the missing equivalent ratios on the coordinate plane.

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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To plot the equivalent ratios based on the given x-values and y-values, we need to identify the pairs from the table:

  • When \( x = 2 \), \( y = 6 \)
  • When \( x = 4 \), \( y = 12 \)
  • When \( x = 6 \), \( y = 18 \)
  • When \( x = 8 \), \( y = 24 \)

These points can be summarized as coordinates:

  • (2, 6)
  • (4, 12)
  • (6, 18)
  • (8, 24)

To plot these points on a coordinate plane, you can:

  1. Draw a horizontal line for the x-axis and a vertical line for the y-axis.

  2. Mark the x-values (2, 4, 6, 8) along the x-axis.

  3. Mark the y-values (6, 12, 18, 24) along the y-axis.

  4. Plot each coordinate:

    • (2, 6) - go to x = 2 and then up to y = 6 and place a point.
    • (4, 12) - go to x = 4 and then up to y = 12 and place a point.
    • (6, 18) - go to x = 6 and then up to y = 18 and place a point.
    • (8, 24) - go to x = 8 and then up to y = 24 and place a point.

Once all the points are plotted, you should see a straight line that represents the equivalent ratios of x-values to y-values, showcasing that as x increases, y increases proportional to the given ratios.

The equivalent ratio for each coordinate can be simplified and noted as follows:

  • (1, 3) for (2, 6)
  • (1, 2) for (4, 12)
  • (1, 1) for (6, 18)
  • (1, 0.75) for (8, 24)

Please ensure that the axes are properly labeled and the scale is uniform for clarity when plotting on the coordinate plane.