Question

Use the image to answer the question.

What scenario can be represented by the graph?

(1 point)
Responses

A cyclist is traveling toward home at a constant rate, when they pass their house to go to the store. Then they head back home after a period of time.
A cyclist is traveling toward home at a constant rate, when they pass their house to go to the store. Then they head back home after a period of time.

A child slides down a water slide into a pool, swims at a constant rate to the edge of the pool, then exits the pool to grab their towel.
A child slides down a water slide into a pool, swims at a constant rate to the edge of the pool, then exits the pool to grab their towel.

A glider waits for a few seconds, then takes off from the side of mountain. It eventually lands after a period of time.
A glider waits for a few seconds, then takes off from the side of mountain. It eventually lands after a period of time.

A runner jumps over a barricade on track, continues running 10 seconds on flat track, and then waits for their friend to catch up.
A runner jumps over a barricade on track, continues running 10 seconds on flat track, and then waits for their friend to catch up.
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1 answer

To determine which scenario is represented by the graph, we need to analyze the characteristics typically associated with each scenario regarding speed, distance, and time.

  1. A cyclist traveling toward home: This scenario indicates a journey with a constant speed away from home, then a period spent elsewhere (like the store), and then a return trip. This kind of situation usually results in a graph with linear segments, indicating constant speed both when moving away from and returning home.

  2. A child sliding down a water slide: This scenario involves an initial drop (perhaps a steep slope) and then a constant swimming speed in the pool before exiting. The graph would potentially reflect a drop in height followed by a flat line as they swim, then possibly goes vertical again when they exit.

  3. A glider waiting and then taking off: This likely involves a flat line during the waiting period, followed by a linear increase in altitude and eventual decrease as it lands.

  4. A runner jumping over a barricade: This could show an upward movement (jump), followed by a steady period of running (a flat line if constant speed), followed by a horizontal line if they wait.

Without seeing the specific graph, if it shows initial motion, then a flat line, and then more motion, it would fit the first scenario involving the cyclist or possibly the runner depending on context. If the graph shows a drop and then swimming, the second scenario fits.

If you're able to describe specific features of the graph (e.g., flat sections, increasing/decreasing lines), I could narrow it down more accurately. However, based on the logical progression of these descriptions, the first scenario about the cyclist could commonly be expected, provided it shows clear back and forth motion around a central home point.