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Question
Sia measured the lengths of her father's neckties shown below to the nearest half inch. Her father has four solid neckties, three polka-dotted neckties, and five bow ties.

A scale measuring 4 inches is placed horizontally to measure the length of the neckties. The scale is marked with dashed lines every half inch. The solid necktie lines up closest to the fourth half-inch mark, the polka-dot necktie lines up closest to the third half-inch mark, and the bow tie lines up closest to the first half-inch mark.

Which line plot shows the lengths of all of the neckties?

(1 point)
Responses

A line plot titled “lengths of neckties” is shown. There are 5 dots over one-half, there are 3 dots over two and one-half, and 4 dots over 2.
Image with alt text: A line plot titled “lengths of neckties” is shown. There are 5 dots over one-half, there are 3 dots over two and one-half, and 4 dots over 2.

A line plot titled “lengths of neckties” is shown. There are 5 dots over one-half, there are 3 dots over one, and 4 dots over 2.
Image with alt text: A line plot titled “lengths of neckties” is shown. There are 5 dots over one-half, there are 3 dots over one, and 4 dots over 2.

A line plot titled “lengths of neckties” is shown. There are 3 dots over one-half, 4 dots over one and one-half, and 5 dots over two.
Image with alt text: A line plot titled “lengths of neckties” is shown. There are 3 dots over one-half, 4 dots over one and one-half, and 5 dots over two.

A line plot titled “lengths of neckties” is shown. There are 4 dots over one-half, 3 dots over one and one-half, and 5 dots over two.
Image with alt text: A line plot titled “lengths of neckties” is shown. There are 4 dots over one-half, 3 dots over one and one-half, and 5 dots over two.
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1 answer

To determine which line plot best represents the lengths of all of the neckties based on the information given:

  1. Solid Neckties: 4 solid neckties are measured closest to the fourth half-inch mark, which is 2 inches (since each half-inch is counted and the fourth half-inch corresponds to 2 inches).
  2. Polka-Dotted Neckties: 3 polka-dotted neckties are measured closest to the third half-inch mark, which is 1.5 inches (1.5 inches is the equivalent of the third half-inch mark).
  3. Bow Ties: 5 bow ties are measured closest to the first half-inch mark, which is 0.5 inches.

Now, let's summarize the counts:

  • 0.5 inches: 5 bow ties
  • 1.5 inches: 3 polka-dotted neckties
  • 2 inches: 4 solid neckties

Now, we can check which line plot accurately reflects this distribution:

  • First response: 5 dots over 0.5, 3 dots over 2.5, and 4 dots over 2. (Incorrect)
  • Second response: 5 dots over 0.5, 3 dots over 1, and 4 dots over 2. (Incorrect)
  • Third response: 3 dots over 0.5, 4 dots over 1.5, and 5 dots over 2. (Incorrect)
  • Fourth response: 4 dots over 0.5, 3 dots over 1.5, and 5 dots over 2. (Incorrect)

It appears that the descriptions mentioned do not fit accurately into any of the provided options since the counts based on the information should be:

  • 5 dots over 0.5
  • 3 dots over 1.5
  • 4 dots over 2

Based on the counts, none of the options match the expected output. Therefore, it's worth double-checking the provided options or seeing if there's a misunderstanding. If you have any further information or dimensions, please share!