Choose the graph that best represents the following:
The height of a child (Y) when jumping on a trampoline as a function of time (X).
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Choose the graph that best represents the following:
The height of a child (Y) when jumping on a trampoline as a function of time (X).
When the child jumps on the trampoline, their height changes. At the peak of the jump, they are at the highest point; when they land, they are at the lowest point. As they are bouncing on a trampoline, this up and down motion is repeated.
Therefore, in the correct graph we must see "ups" and "downs" and, therefore, the graph in answer A is the correct one.
Is the function in the graph decreasing?
When jumping on a trampoline, you go up and down repeatedly! Each jump creates a cycle: you start low, reach maximum height, then come back down. This creates the wave-like pattern in the graph.
In real life, the peaks might vary slightly, but for this problem, we assume consistent bouncing. The key is seeing the repeated pattern of ups and downs, not exact peak heights.
The x-axis shows time passing as the child continues jumping. Each complete cycle (up and down) represents one bounce on the trampoline.
A straight line would mean the child is constantly rising without ever coming down - that's not how trampolines work! The motion must show repeated bouncing.
Look for graphs with regular waves that go up and down repeatedly. The pattern should look like connected hills and valleys, showing the continuous bouncing motion.
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