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 :
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:
[tex]\rm x = \dfrac{3}{7}\times (2-(-6))+(-6)[/tex]
Step 3 - Simplify the above expression.
[tex]\rm x = \dfrac{24}{7}-6[/tex]
[tex]\rm x = -\dfrac{18}{7}[/tex]
Therefore, the correct statement is A).
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