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2012 Math Kangaroo

Problem 2

Problem 2 · 2012 Math Kangaroo Easy
Algebra & Patterns estimate-and-pick

The water level in a port rises and falls on a certain day as shown in the diagram. How many hours on that day was the water level over 30 cm?

Figure for Math Kangaroo 2012 Problem 2
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Answer: E — 13
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Hint 1 of 2
Draw the horizontal line at height 30 across the graph.
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Hint 2 of 2
Add up the time intervals where the curve stays above that line.
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Approach: read the graph against the 30 cm line
  1. Mark the level 30 cm as a horizontal line on the diagram.
  2. Find where the curve is above that line and total those time spans.
  3. Those intervals add up to 13 hours.
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