Question

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).

Answer 1

The scatterplot that correctly represents the given table of values is the one titled Years Collecting Stamps versus Stamps in Collection with points at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), and (5, 175).

Therefore, the correct answer is: option '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), and (5, 175).

Step-by-step explanation:

The question pertains to which scatterplot correctly represents the given table of values.

When plotting points on a scatterplot, we must ensure that each point reflects an x-coordinate matched with its corresponding y-coordinate.

Using the table provided, we plot each pair of values on the graph accordingly to represent the dependence of y on x.

The correct scatterplot represents each unique pairing exactly as presented in the table.

Comparing the scatterplots to the table, we can determine that the correct scatterplot is the one where the points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175).

This match accurately demonstrates the data showing the Number of years collecting stamps versus the Number of stamps in collection.