Question
A cat wakes up in its bed and visits its food dish to the left of its bed.
Positions to the right of its bed are assigned a negative value and positions to the left of its bed are assigned a positive value.
Time (m) 1 2 3 4 5
Position (m) 0 2 4 -5 -10
Where did the cat begin and end its journey?
(1 point)
Responses
The cat began its journey at its food dish and ended its journey 10 meters to the left of its bed.
The cat began its journey at its food dish and ended its journey 10 meters to the left of its bed.
The cat began its journey in bed and ended its journey 5 meters to the left of its bed.
The cat began its journey in bed and ended its journey 5 meters to the left of its bed.
The cat began its journey at its food dish and ended its journey 10 meters to the right of its bed.
The cat began its journey at its food dish and ended its journey 10 meters to the right of its bed.
Positions to the right of its bed are assigned a negative value and positions to the left of its bed are assigned a positive value.
Time (m) 1 2 3 4 5
Position (m) 0 2 4 -5 -10
Where did the cat begin and end its journey?
(1 point)
Responses
The cat began its journey at its food dish and ended its journey 10 meters to the left of its bed.
The cat began its journey at its food dish and ended its journey 10 meters to the left of its bed.
The cat began its journey in bed and ended its journey 5 meters to the left of its bed.
The cat began its journey in bed and ended its journey 5 meters to the left of its bed.
The cat began its journey at its food dish and ended its journey 10 meters to the right of its bed.
The cat began its journey at its food dish and ended its journey 10 meters to the right of its bed.
Answers
GPT-4o mini
To analyze the cat's journey, we need to understand its position at different times:
- At time \(m = 1\), the position is \(0\) meters (this represents the cat's bed).
- At time \(m = 2\), the position is \(2\) meters (this is to the left of the bed, likely being its food dish).
- At time \(m = 3\), the position is \(4\) meters (still to the left of the bed).
- At time \(m = 4\), the position is \(-5\) meters (this is to the right of the bed).
- At time \(m = 5\), the position is \(-10\) meters (this is still to the right of the bed).
From the above positions, we can conclude:
- The cat starts its journey at the position of its bed (0 meters).
- The cat ends its journey at -10 meters (10 meters to the right of its bed).
Thus, the correct response is:
The cat began its journey in bed and ended its journey 10 meters to the right of its bed.
- At time \(m = 1\), the position is \(0\) meters (this represents the cat's bed).
- At time \(m = 2\), the position is \(2\) meters (this is to the left of the bed, likely being its food dish).
- At time \(m = 3\), the position is \(4\) meters (still to the left of the bed).
- At time \(m = 4\), the position is \(-5\) meters (this is to the right of the bed).
- At time \(m = 5\), the position is \(-10\) meters (this is still to the right of the bed).
From the above positions, we can conclude:
- The cat starts its journey at the position of its bed (0 meters).
- The cat ends its journey at -10 meters (10 meters to the right of its bed).
Thus, the correct response is:
The cat began its journey in bed and ended its journey 10 meters to the right of its bed.