A line graph shows enrollment from 2005 to 2010. The greatest year-over-year increase occurred from 2008 to 2009. Which feature of the graph most directly indicates this?
AThe horizontal axis is labelled in regular time intervals.
BThe line graph has only one peak.
C2009 has the highest absolute enrollment of any year.
DThe slope of the line segment joining 2008 and 2009 is the steepest of any consecutive-year segment.
Answer & Solution
Correct answer: D. The slope of the line segment joining 2008 and 2009 is the steepest of any consecutive-year segment.
Year-over-year *change* corresponds to the **slope** of the segment between consecutive years. The steepest segment is the year with the largest increase.
- **D** confuses *largest absolute value* with *largest increase*; the steepest **climb** can occur even if 2009 isn't the highest year overall.
- **A** is a property of the axis, not the data.
- **C** is about the overall shape, not year-to-year change.
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