Which scatterplot correctly represents the table of values below?

Number of years collecting stamps
Number of stamps in collection
2
100
5
175
4
150
3
125
4
175
3
100

A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 200).
A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 150), (4, 150), (4, 175), and (5, 175).
A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175).
A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 75), (3, 100), (3, 125), (4, 150), (4, 175), and (5, 175).

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To determine which scatterplot correctly represents the given data, we need to extract and verify the points from the table of values:

  • For 2 years: 100 stamps
  • For 3 years: 100 stamps
  • For 3 years: 125 stamps (this is an additional data point for 3 years)
  • For 4 years: 150 stamps
  • For 4 years: 175 stamps (this is an additional data point for 4 years)
  • For 5 years: 175 stamps

Now, we can summarize the unique points:

  1. (2, 100)
  2. (3, 100)
  3. (3, 125)
  4. (4, 150)
  5. (4, 175)
  6. (5, 175)

Next, we will check the options provided to see which one contains these points correctly:

  1. The first graph has points at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 200). This is incorrect because it has (5, 200) instead of (5, 175).

  2. The second graph has points at (2, 100), (3, 100), (3, 150), (4, 150), (4, 175), and (5, 175). This is incorrect because it has (3, 150) instead of (3, 125).

  3. The third graph has points at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), and (5, 175). This matches all the required points, so this one is correct.

  4. The fourth graph has points at (2, 75), (3, 100), (3, 125), (4, 150), (4, 175), and (5, 175). This is incorrect because it has (2, 75) instead of (2, 100).

Based on this analysis, the correct scatterplot is the third option:

A graph titled "Years Collecting Stamps versus Stamps in Collection" has points at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), and (5, 175).