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.

(1 point)

1 answer

To plot the missing equivalent ratios on a coordinate plane using the given x-values and y-values, you have the pairs of values as follows:

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

These points represent (x, y) coordinates.

To plot the points:

  1. For (2, 6), move to the right 2 units (on the x-axis) and up 6 units (on the y-axis).
  2. For (4, 12), move to the right 4 units and up 12 units.
  3. For (6, 18), move to the right 6 units and up 18 units.
  4. For (8, 24), move to the right 8 units and up 24 units.

These points can be connected with a line, making it clear that they all form a linear relationship.

If you are looking for equivalent ratios that occur between these points (for example, (1, 3), (3, 9), or (5, 15) based on the observed pattern), you can also add those values:

  • (1, 3)
  • (3, 9)
  • (5, 15)
  • (7, 21)

These points will also follow the same linear trend. You can now plot these additional points on the same coordinate plane, extending your graph.

Overall, you should have the following plotted points:

  • (1, 3)
  • (2, 6)
  • (3, 9)
  • (4, 12)
  • (5, 15)
  • (6, 18)
  • (7, 21)
  • (8, 24)

Make sure to label your axes appropriately as you plot them on the coordinate plane!