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Question

Question
Carmen measured the lengths of all of the colored pencils in her pencil box. She made this line plot of the lengths.

A line plot named “lengths of colored pencils” shows a number line from 3 to 5. The number line is divided into eight equal parts. There is 1 dot above 3, 2 dots above three and one-fourth, 5 dots over three and two-fourths, 3 dots over three and three-fourths, 4 dots over 4, 3 dots over four and one-fourth, 3 dots over four and two-fourths, 1 dot over four and three-fourths, and 2 dots over 5.

(1 point)
How many pencils are 3/2
-

4

inches long? Enter your answer in the box.

pencils

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Answer 1

To determine how many pencils are \( \frac{3}{2} \) inches long, we need to first convert \( \frac{3}{2} \) to a decimal or a more recognizable fraction related to the line plot.

\( \frac{3}{2} \) is equal to 1.5 inches, which can also be expressed as:

• 1 dot above 1 (1 inch)
• 2 dots above 1.25 (1 and 1/4 inches)
• 3 dots above 1.5 (1 and 1/2 inches)
• 4 dots above 1.75 (1 and 3/4 inches)

Looking at the line plot description provided, there are 3 dots above \( 3 \) and \( 1/2 \) (or \( 1.5 \)). Therefore, there are 3 pencils that are \( \frac{3}{2} \) inches long.

So the answer is:

3 pencils