Question

The table below shows the changes in the value of a company's stock over the past four weeks. By how many points would the stock value need to change in Week 5 to return to its value before Week 1? Explain.

Answer 1

ANSWER:

+ 4 7/8

STEP-BY-STEP EXPLANATION:

Assuming that we start in week 0, with a total of 0 points, we must operate the changes in each week and the value opposite to that result must be the change necessary to return to the original value.

Just like that:

$\begin{gathered} 9\frac{1}{2}+6\frac{5}{8}-12\frac{3}{4}-8\frac{1}{4}=\frac{19}{2}+\frac{53}{8}-\frac{51}{4}-\frac{33}{4}=-\frac{39}{8}=-4\frac{7}{8} \\ -4\frac{7}{8}+4\frac{7}{8}=0 \end{gathered}$

Which means that to return to the initial value, 4 7/8 points must be added