To determine the rule based on the provided data, let's observe the number of ferries and the corresponding number of people.
From the information given, we can summarize the table as follows:
| Number of Ferries | Number of People | |-------------------|------------------| | 1 | 7 | | 3 | 19 | | 6 | 37 | | 9 | 55 | | 12 | 73 |
Now let's analyze the data:
- For 1 ferry, 7 people can be transported.
- For 3 ferries, the increase from 1 ferry (7 people) to 3 ferries is \(19 - 7 = 12\).
- For 6 ferries, the increase from 3 ferries (19 people) to 6 ferries is \(37 - 19 = 18\).
- For 9 ferries, the increase from 6 ferries (37 people) to 9 ferries is \(55 - 37 = 18\).
- For 12 ferries, the increase from 9 ferries (55 people) to 12 ferries is \(73 - 55 = 18\).
From this analysis, we can see that:
- For every 1 ferry beyond the first, the number of additional people transported increases by 6 people.
Thus, the rule to find the number of people that can be transported by a certain number of ferries is:
- Start at 7 people for one ferry and add 6 people for each additional ferry.
Next, we need to determine if 15 ferries can transport 93 people.
Starting from the rule:
- For 1 ferry, there are 7 people.
- For every additional ferry, we add 6 people.
The formula to find the number of people transported by \( n \) ferries is:
\[ \text{Number of People} = 7 + 6(n - 1) \]
For 15 ferries:
\[ \text{Number of People} = 7 + 6(15 - 1) \] \[ = 7 + 6 \times 14 \] \[ = 7 + 84 \] \[ = 91 \]
Since 91 is not equal to 93, 15 ferries will not be able to transport 93 people.
So, to complete the statements:
- The rule to find the number of people that can be transported by a certain number of ferries is: C: 7 people for one ferry and add B: 6 people for each additional ferry.
- And 15 ferries will not be able to transport 93 people, as they can transport 91 people.