To determine the pattern of the water level increase, you would typically look at the graph you've mentioned. Based on the responses provided, here’s an analysis of each option:
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The water level increases by 4 cups each hour. - This indicates a linear increase of 4 cups every hour. This would be correct if the graph shows a straight line with a slope corresponding to 4.
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The water level increases by a factor of 14 each hour. - This would imply that the water amount multiplies by 14 every hour, which is a large exponential growth. This would be indicated by a rapidly increasing curve.
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The water level increases by a factor of 1 fourth each hour. - This suggests a decrease over time, which wouldn't apply to a dripping faucet scenario where water accumulates.
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The water level increases by 1 cup each hour. - This indicates a linear increase of 1 cup every hour, which would imply a much slower rise than the first option.
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The water level increases by a factor of 4 each hour. - Similar to the second option, this suggests exponential growth, where each hour the amount of water quadruples.
To choose the correct description, compare the actual changes in y (the amount of water in cups) against the hour x as shown in the graph. The correct answer would depend on the slope or curve of the graph.
If you see a consistent increase (like straight line segments) of cups added per hour, go with the response that reflects that increase. If you're observing significant growth (curved increase), select the factor response appropriate to the growth shown.
Based on typical cases, the most common response would likely be either the first option ("The water level increases by 4 cups each hour.") or the fourth ("The water level increases by 1 cup each hour."), but you will need to look at the graph to confirm which is accurate.