Question
This graph shows the distance a car traveled in miles as a function of time in minutes.
For how long was the car stopped?
Coordinate plane with the x axis time (min) going up by 2s from 0 to 14 and the y axis distance traveled (miles) going up by 1s from 0 to 7. Piecewise linear function with three line segments: a line going up from left to right from (0, 0) to (4, 2) labeled car driving, a horizontal line from (4, 2) to (9, 2) labeled car stopped and a line going up from left to right from (9, 2) to (14, 7) labeled car driving.
The car was stopped for
minutes.
For how long was the car stopped?
Coordinate plane with the x axis time (min) going up by 2s from 0 to 14 and the y axis distance traveled (miles) going up by 1s from 0 to 7. Piecewise linear function with three line segments: a line going up from left to right from (0, 0) to (4, 2) labeled car driving, a horizontal line from (4, 2) to (9, 2) labeled car stopped and a line going up from left to right from (9, 2) to (14, 7) labeled car driving.
The car was stopped for
minutes.
Answers
GPT-4o mini
To determine how long the car was stopped, we can analyze the graph based on the provided information:
1. The car drove from (0, 0) to (4, 2), where it traveled from 0 miles to 2 miles over 4 minutes.
2. It then traveled horizontally from (4, 2) to (9, 2), which indicates that during this period, from 4 minutes to 9 minutes, the car did not move.
3. The car started driving again from (9, 2) to (14, 7), going from 2 miles to 7 miles over 5 minutes.
To find the duration for which the car was stopped:
- The stopping time starts at 4 minutes and ends at 9 minutes.
- Therefore, the duration of the stop is:
\[ 9 \text{ minutes} - 4 \text{ minutes} = 5 \text{ minutes} \]
Thus, the car was stopped for **5 minutes**.
1. The car drove from (0, 0) to (4, 2), where it traveled from 0 miles to 2 miles over 4 minutes.
2. It then traveled horizontally from (4, 2) to (9, 2), which indicates that during this period, from 4 minutes to 9 minutes, the car did not move.
3. The car started driving again from (9, 2) to (14, 7), going from 2 miles to 7 miles over 5 minutes.
To find the duration for which the car was stopped:
- The stopping time starts at 4 minutes and ends at 9 minutes.
- Therefore, the duration of the stop is:
\[ 9 \text{ minutes} - 4 \text{ minutes} = 5 \text{ minutes} \]
Thus, the car was stopped for **5 minutes**.