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The student purchased tickets for a raffle. The buyer receives a certain number of entries for the raffle drawing. The table below shows this relationship.

\begin{tabular}{|c|c|}
\hline
Tickets purchased & Entries \\
\hline
1 & 3 \\
\hline
2 & 4 \\
\hline
3 & 5 \\
\hline
4 & 6 \\
\hline
\end{tabular}

Which statement shows the rule for the relationship between the two quantities?

A. The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
B. The number of entries in the raffle drawing is double the number of tickets purchased.
C. The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
D. The number of tickets purchased is one-third the number of entries in the raffle drawing.

Sagot :

GinnyAnsweridn
Let's examine the relationship between the tickets purchased and the number of entries in the raffle drawing using the data provided in the table:

| Tickets Purchased | Entries |
|----------------------|--------|
| 1 | 3 |
| 2 | 4 |
| 3 | 5 |
| 4 | 6 |

We need to determine which of the given statements correctly describes the relationship between the tickets purchased and entries.

### Option 1: The number of tickets purchased is 2 more than the number of entries in the raffle drawing.
Let's check this statement:
- For 1 ticket: [tex]\( 1 \neq 3 - 2 \)[/tex]
- For 2 tickets: [tex]\( 2 \neq 4 - 2 \)[/tex]
- For 3 tickets: [tex]\( 3 \neq 5 - 2 \)[/tex]
- For 4 tickets: [tex]\( 4 \neq 6 - 2 \)[/tex]

This statement is false.

### Option 2: The number of entries in the raffle drawing is double the number of tickets purchased.
Let's check this statement:
- For 1 ticket: [tex]\( 3 \neq 1 \times 2 \)[/tex]
- For 2 tickets: [tex]\( 4 \neq 2 \times 2 \)[/tex]
- For 3 tickets: [tex]\( 5 \neq 3 \times 2 \)[/tex]
- For 4 tickets: [tex]\( 6 \neq 4 \times 2 \)[/tex]

This statement is false.

### Option 3: The number of entries in the raffle drawing is 2 more than the number of tickets purchased.
Let's check this statement:
- For 1 ticket: [tex]\( 3 = 1 + 2 \)[/tex]
- For 2 tickets: [tex]\( 4 = 2 + 2 \)[/tex]
- For 3 tickets: [tex]\( 5 = 3 + 2 \)[/tex]
- For 4 tickets: [tex]\( 6 = 4 + 2 \)[/tex]

This statement is true.

### Option 4: The number of tickets purchased is one-third the number of entries in the raffle drawing.
Let's check this statement:
- For 1 ticket: [tex]\( 1 \neq 3 / 3 \)[/tex]
- For 2 tickets: [tex]\( 2 \neq 4 / 3 \)[/tex]
- For 3 tickets: [tex]\( 3 \neq 5 / 3 \)[/tex]
- For 4 tickets: [tex]\( 4 \neq 6 / 3 \)[/tex]

This statement is false.

### Conclusion:
Based on the analysis, the correct statement is:

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

Thus, the correct option is [tex]\(3\)[/tex].
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