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trasher [3.6K]
2 years ago
5

The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the

graph:
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)

Mathematics
1 answer:
Alenkasestr [34]2 years ago
4 0

Answer:

<h3>Part A</h3>

The graph is non-linear as it is not a continuous straight line (with only one slope).

<h3>Part B</h3>

<u>Increasing</u>:  the y-value increases as the x-value increases

<u>Constant</u>:  the y-value stays the same as the x-value changes

<u>Decreasing</u>:  the y-value decreases as the x-value increases

Therefore,

  • Increasing segment:  Between 0 and 2 seconds
  • Constant segment: Between 2 and 3 seconds
  • Decreasing segment: Between 3 and 5 seconds

<h3>Part C</h3>

For the first 2 seconds, the ant moves 6 cm from a hole in the tree at a steady speed of 3 cm per second. For the next second, the ant is at rest then turns around. For the next 2 seconds, the ant moves 6 cm back to the hole at a steady speed of 3 cm per second.  The ant then stops.

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