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Explanation
Correct answer: D.
Choice D is correct. The change in the number of -D movies released between any two consecutive years can be found by first estimating the number of -D movies released for each of the two years and then finding the positive difference between these two estimates. Between and , this change is approximately movie; between and , this change is approximately movies; between and , this change is approximately movies; and between and , this change is approximately movies. Therefore, of the pairs of consecutive years in the choices, the greatest increase in the number of -D movies released occurred during the time period between and .
Desmos solution:
Note: r is the greatest consecutive-year change, and s is the 2010–2011 change; their equality selects D.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from not calculating the changes. Between and , the change was approximately movie, which is much smaller than the -movie change between and .
Choice B
Choice B is incorrect and may result from identifying a large increase but not the largest. Between and , the change was approximately movies, which is significant but still smaller than the -movie change between and .
Choice C
Choice C is incorrect and may result from misreading the graph values. Between and , the change was approximately movies, which is smaller than the -movie change between and .