The line plot shows the height of plants in inches that were planted last week. How much greater is the longest plant than the shortest plant?
Understand the Problem
The question is asking for the difference in height between the longest and shortest plants based on the line plot provided, which shows the heights of the plants in inches.
Answer
The difference in height is $ \frac{7}{8} $ inch.
Answer for screen readers
The difference in height between the longest and shortest plants is $ \frac{7}{8} $ inch.
Steps to Solve
-
Identify the Lengths from the Line Plot
Examine the line plot to determine the heights of the plants. The shortest plant is represented at $0 \frac{1}{8}$ inches and the longest plant is represented at $1$ inch. -
Convert Measurements to Improper Fractions if Needed
For easier subtraction, convert the mixed number to an improper fraction.
$$ 0 \frac{1}{8} = \frac{1}{8} $$
The longest plant remains as $1$ inch, which can be written as an improper fraction:
$$ 1 = \frac{8}{8} $$ -
Subtract the Shortest from the Longest
Now, subtract the height of the shortest plant from the tallest plant's height:
$$ \frac{8}{8} - \frac{1}{8} = \frac{7}{8} $$ -
Convert Back to Mixed Number if Needed
The answer $ \frac{7}{8} $ does not need conversion as it is already in a suitable form for stating the difference.
The difference in height between the longest and shortest plants is $ \frac{7}{8} $ inch.
More Information
The heights were taken directly from the line plot, with the units measured in inches. The line plot clearly illustrated the distribution of plant heights, with all values being fractional inches.
Tips
- Misreading the heights from the plot. Always double-check the values indicated.
- Not converting mixed numbers correctly, which can lead to improper subtraction.
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