Question

Analyze the student's work. Is the answer correct?

Explain.

No, the student should have added 3 + 4 to get the

total number of sections, and used the fraction 3

instead of 3

No, the student should have subtracted 2 from-6 to

find the distance.

No, the student should have added 2 at the end to

add to the starting point.

Yes, the student's answer is correct.

Answer 1

If the student has always used addition and subtraction the student is correct

Answer 2

No, the student should have added 3 + 4 to get the total number of sections and used the fraction of Three-sevenths instead of Three-fourths and this can be determined by using the given data.

Given :

• Point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.
• Point A is at -6 and point B is at 2.

The following steps can be used in order to analyze the student's work:

Step 1 - First, add 3 and 4 which is a ratio that divides the line segment.

= 3 + 4

= 7

Step 2 - Now, let point C is at 'x'. So, the value of 'x' can be calculated as:

$\rm x = \dfrac{3}{7}\times (2-(-6))+(-6)$

Step 3 - Simplify the above expression.

$\rm x = \dfrac{24}{7}-6$

$\rm x = -\dfrac{18}{7}$

Therefore, the correct statement is A).

For more information, refer to the link given below:

https://brainly.com/question/25727583