8 multiple choice 1 point if the initial value of a stock is written as $x$ and it drops by half every month…

8 multiple choice 1 point if the initial value of a stock is written as $x$ and it drops by half every month for 3 months, the value after 3 months is. the expression equals: $2x$ $\frac{x}{8}$ $\frac{x}{4}$ $\frac{x}{2}$

8 multiple choice 1 point if the initial value of a stock is written as $x$ and it drops by half every month for 3 months, the value after 3 months is. the expression equals: $2x$ $\frac{x}{8}$ $\frac{x}{4}$ $\frac{x}{2}$

Answer

Explanation:

Step1: Initial - month 1 value

The stock starts at value $x$. After the first month, it drops by half. So the value is $x\times\frac{1}{2}=\frac{x}{2}$.

Step2: Month 1 - month 2 value

Starting with $\frac{x}{2}$ at the start of the second - month, after dropping by half, the value is $\frac{x}{2}\times\frac{1}{2}=\frac{x}{4}$.

Step3: Month 2 - month 3 value

Starting with $\frac{x}{4}$ at the start of the third - month, after dropping by half, the value is $\frac{x}{4}\times\frac{1}{2}=\frac{x}{8}$.

Answer:

B. $\frac{x}{8}$