Consider these four line graphs representing speed in meters/second, where each X-axis is labelled in seconds and each Y-axis is

Question

3 years ago

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Consider these four line graphs representing speed in meters/second, where each X-axis is labelled in seconds and each Y-axis is

labelled in meters.
What do the four graphs have in common?
A) They all indicate a constant speed.
B) They all indicate an increase in speed.
C) All four graphs have nothing in common.
D) They all represent the same speed in m/s

Mathematics

2 answers:

Ivahew [28] · Answer 1 · 2022-08-31T04:26:00+03:00

All four graphs indicate a constant speed. So, they do not all indicate the same speed. Since the slope of each line is constant, we know the the speed represented by each line is also constant or unchanging. It is like having cruise control on your car.

The Correct answer is: A

maksim [4K] · Answer 2 · 2022-08-31T06:55:16+03:00

Answer : (A) They all indicate a constant speed.

Explanation :

In this case, four line graphs represent speed in m/s. The x-axis is labeled in seconds (time) and the y-axis is labeled in meters (distance).

The slope of the distance-time graph gives the slope. It can be seen from the attached figure that, in each case, the speed is constant everywhere.

Hence, the correct option is (A) " They all indicate a constant speed ".