Choose the graph that best represents the following:
The speed of a car (Y) as it travels at a constant speed as a function of time (X).
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Choose the graph that best represents the following:
The speed of a car (Y) as it travels at a constant speed as a function of time (X).
Since the car's speed is constant and does not change throughout the journey, the graph will be constant.
The graph shown in answer D describes this correctly.
Is the function in the graph decreasing?
A horizontal line means the y-value (speed) never changes as x-value (time) increases. Since the car travels at constant speed, the graph must be horizontal!
An upward slope means the car is accelerating - getting faster over time. This contradicts the problem statement of constant speed.
A downward slope means the car is decelerating - slowing down over time. Again, this isn't constant speed motion.
The horizontal line should be above the x-axis at whatever constant speed the car maintains. It cannot be on the x-axis because that would mean zero speed (not moving).
No! The question asks for the shape of the graph. Any horizontal line above the x-axis correctly represents constant speed, regardless of the specific speed value.
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