Math Problem Statement

Create a scatterplot of the data. Choose the correct graph below.

A.

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A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4.5, 4); (6.5, 5); (8.5, 6); (10.5, 7); (12, 8); (13, 9); (14, 10); (14.5, 11); (14.5, 12); (14.5, 13); (14.5, 14).

B.

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A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 4.5); (5, 6.5); (6, 8.5); (7, 10.5); (8, 12); (9, 13); (10, 14); (11, 14.5); (12, 14.5); (13, 14.5); (14, 14.5).

C.

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A scatterplot has a horizontal x-scale from 0 to 25 in intervals of 1 and a vertical y-scale from 0 to 25 in intervals of 1. Eleven points are plotted with approximate coordinates as follows: (4, 7); (5, 8); (6, 9); (7, 10); (8, 11); (9, 12); (10, 13); (11, 14); (12, 15); (13, 16); (14, 17).

D.

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Solution

To determine the correct scatterplot, let us analyze the descriptions provided for the options.

  1. Option A: The coordinates are:
    (4.5, 4), (6.5, 5), (8.5, 6), (10.5, 7), (12, 8), (13, 9), (14, 10), (14.5, 11), (14.5, 12), (14.5, 13), (14.5, 14).
    The x-values mostly increase until 14.5, while the y-values increase from 4 to 14. The points form a pattern where xx becomes constant at 14.5 while yy increases.

  2. Option B: The coordinates are:
    (4, 4.5), (5, 6.5), (6, 8.5), (7, 10.5), (8, 12), (9, 13), (10, 14), (11, 14.5), (12, 14.5), (13, 14.5), (14, 14.5).
    Here, the y-values increase until 14.5, but the x-values continue increasing, forming a pattern where yy becomes constant at 14.5.

  3. Option C: The coordinates are:
    (4, 7), (5, 8), (6, 9), (7, 10), (8, 11), (9, 12), (10, 13), (11, 14), (12, 15), (13, 16), (14, 17).
    Both xx and yy increase together, forming a steadily upward-sloping line.

  4. Option D: This option lacks any specified coordinates or description of the points, making it impossible to evaluate.

Analysis:

From the given descriptions, the pattern of points (both x and y increase steadily, plateau, or reach constant values) determines the correct choice. If you can share the specific data, I can create a scatterplot for clarity.

Would you like me to plot these datasets to confirm? Here are some next steps:

  1. Do you need further clarification of each pattern?
  2. Shall I assist in identifying the best-fit scatterplot?
  3. Do you have specific data to plot for verification?
  4. Would you like me to explain trends and patterns in scatterplots?
  5. Should I plot one of these patterns in more detail for visualization?

Tip: Scatterplots visually represent relationships between two variables and are key in identifying patterns or correlations.

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Math Problem Analysis

Mathematical Concepts

Data Visualization
Scatterplot
Coordinate Geometry

Formulas

None required for plotting scatterplots

Theorems

None

Suitable Grade Level

Grades 6-8