The following graph shows the position of a car versus time. When is the car traveling the fastest?

Question

A graph of the journey of a car with time (hours) on the horizontal axis and distance (km) on the vertical axis. A line slanting to the right connects the points (0, 0) and (1, 20). Another line with a steeper slope. Connects (1, 20) and (3, 80). A steeper slanted line connects (3, 80) and (4, 0).

Source: PDQ Digital Media Solutions Ltd. Pearson Education Ltd

(1 point)
Responses

Between hours 1 and 2
Between hours 1 and 2

Between hours 0 and 1
Between hours 0 and 1

Between hours 2 and 3
Between hours 2 and 3

Between hours 3 and 4
Between hours 3 and 4

Answer 1

To determine when the car is traveling the fastest, we need to look at the slopes of the lines on the graph. The steeper the slope, the faster the car is moving.

Based on your description of the graph:

1. Between hours 0 and 1: The line connects (0, 0) to (1, 20), which indicates a moderate speed.
2. Between hours 1 and 2: There is no specific data mentioned, but we can infer that the slope continues from (1, 20).
3. Between hours 2 and 3: The line connecting (1, 20) to (3, 80) has a steep slope, indicating a faster speed.
4. Between hours 3 and 4: The line connecting (3, 80) to (4, 0) shows a rapid decrease in distance over time, but it moves back towards zero.

From this analysis, the steepest slope occurs between hours 2 and 3. Therefore, the car is traveling the fastest between hours 2 and 3.