Question
The total number of people in line for an amusement park ride, p, changed based on m, the number of minutes after the park opened.
Amusement Park Ride
Minutes after Park opened, m
5
10
15
20
Number of people in line, p
__
__
__
__
Which equation represents the relationship in the table?
A. m = 15 + p
B. p = 15m
C. p = 15 + m
D. m = 15p
Amusement Park Ride
Minutes after Park opened, m
5
10
15
20
Number of people in line, p
__
__
__
__
Which equation represents the relationship in the table?
A. m = 15 + p
B. p = 15m
C. p = 15 + m
D. m = 15p
Answers
GPT-4o mini
To find the equation that represents the relationship between the number of people in line (p) and the number of minutes after the park opened (m), we need to analyze how the values relate to one another.
Since we don't have the specific values for p listed for each minute in your question, let's consider a common scenario for amusement parks where the number of people in line might increase linearly as time goes on.
1. **Increase in People Over Time**: Assuming that each minute that passes, a constant number of people join the line, we could express this in the equation form \( p = km + b \) where \( k \) is the rate at which people join per minute and \( b \) is the initial number of people in line at time zero.
2. **Possible Equation Forms**:
- Option A: \( m = 15 + p \) represents a situation where the minutes are dependent on the number of people.
- Option B: \( p = 15m \) suggests that for every minute, 15 people join the line.
- Option C: \( p = 15 + m \) indicates that there's a base of 15 people plus one additional person for each minute.
- Option D: \( m = 15p \) implies minutes depend on the number of people.
Given the nature of queues and rides, it's likely that people are lining up as time progresses.
Without specific values for \( p \) at \( m = 5, 10, 15, \) and \( 20 \), I can't determine which option is correct or what the specific growth in line looks like. However, the most plausible choice among the options provided, under the assumption that there is a positive correlation between minutes and people in line, would be:
- **Option B: \( p = 15m \)**
This would indicate that for every minute that passes, a consistent number of 15 people get in line, which is a common scenario in such contexts.
Please double-check your table of people in line to see if that assumption holds. If you provide the values for \( p \), I can confirm the correct relationship.
Since we don't have the specific values for p listed for each minute in your question, let's consider a common scenario for amusement parks where the number of people in line might increase linearly as time goes on.
1. **Increase in People Over Time**: Assuming that each minute that passes, a constant number of people join the line, we could express this in the equation form \( p = km + b \) where \( k \) is the rate at which people join per minute and \( b \) is the initial number of people in line at time zero.
2. **Possible Equation Forms**:
- Option A: \( m = 15 + p \) represents a situation where the minutes are dependent on the number of people.
- Option B: \( p = 15m \) suggests that for every minute, 15 people join the line.
- Option C: \( p = 15 + m \) indicates that there's a base of 15 people plus one additional person for each minute.
- Option D: \( m = 15p \) implies minutes depend on the number of people.
Given the nature of queues and rides, it's likely that people are lining up as time progresses.
Without specific values for \( p \) at \( m = 5, 10, 15, \) and \( 20 \), I can't determine which option is correct or what the specific growth in line looks like. However, the most plausible choice among the options provided, under the assumption that there is a positive correlation between minutes and people in line, would be:
- **Option B: \( p = 15m \)**
This would indicate that for every minute that passes, a consistent number of 15 people get in line, which is a common scenario in such contexts.
Please double-check your table of people in line to see if that assumption holds. If you provide the values for \( p \), I can confirm the correct relationship.