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The student council decided that for every ticket purchased, the buyer receives a certain number of entries for the raffle drawing. The table below shows this.

A 2-column table with 4 rows. Column 1 is labeled Tickets purchased with entries 1, 2, 3, 4. Column 2 is labeled Entries with entries 3, 4, 5, 6.

Which statement shows the rule for the relationship between the two quantities?
The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
The number of entries in the raffle drawing is double the number of tickets purchased.
The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
The number of tickets purchased is one-third the number of entries in the raffle drawing.

1 answer

To determine the rule for the relationship between the number of tickets purchased and the number of entries in the raffle drawing, we can analyze the information given in the table:

  • When 1 ticket is purchased, there are 3 entries.
  • When 2 tickets are purchased, there are 4 entries.
  • When 3 tickets are purchased, there are 5 entries.
  • When 4 tickets are purchased, there are 6 entries.

From this data, we can see that the number of entries increases by 1 for each ticket purchased, starting from 3 entries for 1 ticket. Thus, we can formulate the relationship as follows:

  • For every ticket purchased, the number of entries increases by 1, but there is a base amount of 2 added to the total entries.

This can be expressed in a simpler form:

  • The number of entries in the raffle drawing is 2 more than the number of tickets purchased.

Therefore, the correct statement that shows the rule for the relationship between the two quantities is:

The number of entries in the raffle drawing is 2 more than the number of tickets purchased.