Math Problem Statement

The table shows the racing times, in minutes, for the first two laps in a race. Make a scatter plot for the data. Which scatter plot represents the data?

Solution

The question involves plotting data from the table onto a scatter plot to determine which option represents the data correctly.

The table shows the following values:

  • Lap 1 (x-values): 2.7, 1.9, 1.6, 2.2, 2.1, 1.4, 2.4
  • Lap 2 (y-values): 2.0, 1.4, 1.3, 1.9, 1.8, 1.3, 1.7

To match the scatter plot, compare each point (x,y)(x, y) to the options. For example, the first point is (2.7, 2.0), the second is (1.9, 1.4), and so on. The scatter plot with all these points correctly placed is the answer.

Would you like me to verify each option more thoroughly or explain further?

Questions for further exploration:

  1. How do you determine the coordinates of points in a scatter plot?
  2. Why is matching all points important when choosing the correct scatter plot?
  3. How can scatter plots visually help in identifying trends in data?
  4. What are the key differences between the four options here?
  5. How would the scatter plot change if the data table were modified?

Tip:

When comparing data to a scatter plot, always check the axes labels and scales carefully to avoid misinterpretation!

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Math Problem Analysis

Mathematical Concepts

Data Representation
Scatter Plot Analysis

Formulas

None (concept involves graphing)

Theorems

None (visual representation of data)

Suitable Grade Level

Grades 6-8