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Which of the following statements is correct for the graph shown?

Which of the following statements is correct for the graph shown?-example-1
User Klesun
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1 Answer

5 votes

Final answer:

The question pertains to interpreting graphs in physics, with inconsistencies in provided statements about slopes and lines on graphs, which require clarity. Positive slopes indicate increasing trends, and a constant speed translates to no acceleration. Predator-prey cycles exhibit oscillating patterns on graphs reflecting interdependent relationships.

Step-by-step explanation:

The question provided seems to be related to analyzing graphs in physics, specifically concerning the concepts of acceleration, motion, and the relationship between variables depicted in graph form. If a graph displays a car moving on a straight road at a constant speed in a single direction, it means there is no acceleration since the speed is constant. This implies a horizontal line on a velocity-time graph.

If a line is described as having a positive slope and an intercept of 50, yet it's said to move downward as the x-value increases, there's a contradiction. A positive slope should result in the line rising as the x-value increases. The description of line A being decreasing and line B being increasing with line B being much steeper indicates that line B has a greater rate of change than line A, suggesting higher acceleration if this were a velocity-time graph.

The mention of a direct relationship indicates that the variables increase together, implying a positive correlation. Hence, if the graph represents a direct relationship, the line should be straight and slope upward. Lastly, in predator-prey cycles, the population of predators and prey show oscillating patterns due to their interdependent relationships. Therefore, the correct graph would show these cyclical patterns.

User Igor Timoshenko
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