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Problem-Solving and Data Analysis Difficulty: Easy

The figure presents a line graph titled “Number of 3 D Movies Released by Year.” The horizontal axis is labeled “Year,” and the years 2003 through 2011 are indicated. The vertical axis is labeled “Number of 3 D movies released,” and the numbers 0 through 50, in increments of 10, are indicated. The data, represented by 9 points on the graph, are as follows. Note that all values are approximate.

2003, 2 movies.
2004, 2 movies.
2005, 6 movies.
2006, 8 movies.
2007, 6 movies.
2008, 8 movies.
2009, 20 movies.
2010, 26 movies.
2011, 46 movies.

According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?

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Explanation

Choice D is correct. The change in the number of 3-D movies released between any two consecutive years can be found by first estimating the number of 3-D movies released for each of the two years and then finding the positive difference between these two estimates. Between 2003 and 2004, this change is approximately $2 minus 2, equals 0$ movies; between 2008 and 2009, this change is approximately $20 minus 8, equals 12$ movies; between 2009 and 2010, this change is approximately $26 minus 20, equals 6$ movies; and between 2010 and 2011, this change is approximately $46 minus 26, equals 20$ movies. Therefore, of the pairs of consecutive years in the choices, the greatest increase in the number of 3-D movies released occurred during the time period between 2010 and 2011.

Choices A, B, and C are incorrect. Between 2010 and 2011, approximately 20 more 3-D movies were released. The change in the number of 3-D movies released between any of the other pairs of consecutive years is significantly smaller than 20.