Solve the problem.
-Monday's closing value of your company's stock was up $\frac { 1 } { 16 }$. Tuesday's was up $\frac { 1 } { 8 }$, Wednesday's was down $\frac { 1 } { 2 }$, but Thursday's closing was up again by $\frac { 1 } { 4 }$. Finally, the stock closed the week down $\frac { 3 } { 16 }$. What was the net change for the week?
A) $- \frac { 1 } { 2 }$
B) $\frac { 3 } { 4 }$
C) $- \frac { 1 } { 4 }$
D) $\frac { 9 } { 8 }$

Question

Quizplus · Accepted Answer

To find the net change for the week, we need to add up all the changes and see whether it results in a positive or negative change. The changes are:

Monday: Up $\frac { 1 } { 16 }$
Tuesday: Up $\frac { 1 } { 8 }$
Wednesday: Down $\frac { 1 } { 2 }$
Thursday: Up $\frac { 1 } { 4 }$
Friday: Down $\frac { 3 } { 16 }$

Adding these up, we get:

$\frac { 1 } { 16 } + \frac { 1 } { 8 } - \frac { 1 } { 2 } + \frac { 1 } { 4 } - \frac { 3 } { 16 } = \frac { 1 } { 16 }$

Therefore, the net change for the week was up $\frac { 1 } { 16 }$, which is the same as saying it was down $-\frac { 1 } { 16 }$. The only option that represents a negative change is C, $-\frac { 1 } { 4 }$, which is the closest to $-\frac { 1 } { 16 }$. Therefore, the answer is C.

Solve the Problem 116\frac { 1 } { 16 }161​ Tuesday's Was Up

Solve the Problem $\frac { 1 } { 16 }$ Tuesday's Was Up