Question
The table shows how many people can be transported by a certain number of ferries first find the rule for the table then find if 15 ferries will be able to transport 93 people use the drop-down menu to complete each statement what is the rule to find the number of people that can be transported by a certain number of ferries start at A 1 B 6 C 7 D 15 people for one ferry and add A 1 B 6 C 7 D 12 people for each additional ferry number of ferries 1 3 6 9 12 number of people 7 19 37 55 73
Answers
GPT-4o mini
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:
1. For 1 ferry, 7 people can be transported.
2. For 3 ferries, the increase from 1 ferry (7 people) to 3 ferries is \(19 - 7 = 12\).
3. For 6 ferries, the increase from 3 ferries (19 people) to 6 ferries is \(37 - 19 = 18\).
4. For 9 ferries, the increase from 6 ferries (37 people) to 9 ferries is \(55 - 37 = 18\).
5. 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**.
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:
1. For 1 ferry, 7 people can be transported.
2. For 3 ferries, the increase from 1 ferry (7 people) to 3 ferries is \(19 - 7 = 12\).
3. For 6 ferries, the increase from 3 ferries (19 people) to 6 ferries is \(37 - 19 = 18\).
4. For 9 ferries, the increase from 6 ferries (37 people) to 9 ferries is \(55 - 37 = 18\).
5. 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**.