Let’s derive conclusions from the given data in the table.
1. Twelve tickets cost [tex]$\$[/tex]30.00[tex]$.
The table shows that for 12 tickets, the cost is $[/tex]\[tex]$30.00$[/tex]. This conclusion is correct.
2. Thirty tickets cost [tex]$\$[/tex]12.00[tex]$.
This statement does not make sense based on the data shown. We cannot conclude that thirty tickets cost $[/tex]\[tex]$12.00$[/tex] from the given table. Thus, this conclusion is incorrect.
3. Each additional ticket costs [tex]$\$[/tex]2.50[tex]$.
We can calculate the additional cost per ticket by looking at the differences in cost for each consecutive ticket:
- From 11 to 12 tickets, the cost increase is $[/tex]30.00 - 27.50 = \[tex]$2.50$[/tex].
- From 12 to 13 tickets, the cost increase is [tex]$32.50 - 30.00 = \$[/tex]2.50[tex]$.
Hence, each additional ticket indeed costs $[/tex]\[tex]$2.50$[/tex]. This conclusion is correct.
4. The table is a partial representation.
The table only provides costs for a small range of tickets (11, 12, and 13). We do not see any other data points outside this range. Therefore, this table is a partial representation of possible ticket costs. This conclusion is correct.
5. [tex]$(27.50,11),(30,12)$[/tex] and [tex]$(32.50,13)$[/tex] are the ordered pairs represented in the table.
The table presents the cost data in the form of pairs of values: (cost, tickets). So, the ordered pairs are:
- [tex]$(27.50, 11)$[/tex]
- [tex]$(30.00, 12)$[/tex]
- [tex]$(32.50, 13)$[/tex]
This matches the conclusion provided. Therefore, this statement is correct.
In summary, the correct conclusions drawn from the data shown in the table are:
- Twelve tickets cost [tex]$\$[/tex]30.00[tex]$.
- Each additional ticket costs $[/tex]\[tex]$2.50$[/tex].
- The table is a partial representation.
- [tex]$(27.50,11),(30,12)$[/tex] and [tex]$(32.50,13)$[/tex] are the ordered pairs represented in the table.
