This graph shows the distance a car traveled in miles as a function of time in minutes.

Question

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.

Answer 1

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.