The following line graph shows the ratio of wheat production to rice production of a state in India over 7 years, from 1999 to 2006. Answer the question based on this data.
In how many years was wheat production more than the rice production?
Show Hint
Count only the years where the plotted ratio is strictly greater than 1, not equal to 1.
Step 1: Understanding the Question.
We must count the years, among the 7 years shown (1999-2000 through 2005-2006), where wheat production was strictly more than rice production.
Step 2: Key Formula or Approach.
Since the graph plots \(\dfrac{\text{wheat}}{\text{rice}}\), wheat production exceeds rice production exactly when this ratio is greater than 1. A ratio equal to 1 means the two productions were equal, not one exceeding the other.
Step 3: Detailed Explanation.
Reading the ratio for each of the 7 years: 1999-2000: 0.7 (rice more); 2000-2001: 0.4 (rice more); 2001-2002: 1.0 (equal); 2002-2003: 1.2 (wheat more); 2003-2004: 1.5 (wheat more); 2004-2005: 1.0 (equal); 2005-2006: 1.4 (wheat more).
So wheat production was more than rice production in 3 of the 7 years: 2002-2003, 2003-2004 and 2005-2006.
Step 4: Final Answer.
The count is 3 years. The two years where the ratio equals exactly 1 (2001-2002 and 2004-2005) are not counted, since equal production is not "more" production.
\[ \boxed{3 \text{ years}} \]
