Select which option is most appropriate for describing the number line below.

Question

A number line is divided into twelfths with each twelfth labeled. A dashed arrow is shown starting at ten-twelfths and ending at, as well as pointing to, seven-twelfths. Another dashed arrow is shown starting at seven-twelfths and ending at, as well as pointing to, three-twelfths.

(1 point)
Responses

412+312−312=1012

4 12 + 3 12 - 3 12 = 10 12

1012−312−312=412

10 12 - 3 12 - 3 12 = 4 12

1012−312−412=312

10 12 - 3 12 - 4 12 = 3 12

1012−412−312=412

Answer 1

To analyze the number line described, we see the following operations based on the arrows:

1. The first arrow starts at \( \frac{10}{12} \) and goes to \( \frac{7}{12} \). This represents a subtraction of \( \frac{3}{12} \): \[ \frac{10}{12} - \frac{3}{12} = \frac{7}{12} \]

2. The second arrow starts at \( \frac{7}{12} \) and goes to \( \frac{3}{12} \). This represents another subtraction of \( \frac{4}{12} \): \[ \frac{7}{12} - \frac{4}{12} = \frac{3}{12} \]

Combining these two statements, we see that starting from \( \frac{10}{12} \), we subtract \( \frac{3}{12} \) to get \( \frac{7}{12} \), and then subtract \( \frac{4}{12} \) to get \( \frac{3}{12} \).

The equation that matches this description is:

\[ \frac{10}{12} - \frac{3}{12} - \frac{4}{12} = \frac{3}{12} \]

Thus, the correct response is:

\( 10 , 12 - 3 , 12 - 4 , 12 = 3 , 12 \).