Final answer:
After a 3-for-1 stock split, Rob will own 900 shares valued at $3 each, as the number of shares increases threefold while the price per share is divided by three.
Step-by-step explanation:
A 3-for-1 stock split means that for every one share owned before the split, the shareholder will receive three shares after the split. In this scenario, Rob owns 300 shares of Blackwood common stock valued at $9 each. After the 3-for-1 stock split, each of Rob's existing shares will be split into three new shares. So, the total number of shares Rob will own after the split is:\[ \text{New Total Shares} = \text{Number of Old Shares} \times \text{Stock Split Ratio} \]\[ \text{New Total Shares} = 300 \times 3 \]\[ \text{New Total Shares} = 900 \]
Now, to determine the value per share after the split, we divide the original value per share by the stock split ratio:\[ \text{New Value per Share} = \frac{\text{Old Value per Share}}{\text{Stock Split Ratio}} \]\[ \text{New Value per Share} = \frac{\$9}{3} \]\[ \text{New Value per Share} = \$3 \]Therefore, after the 3-for-1 stock split, Rob will own 900 shares valued at $3 each. The correct answer is: C) 900 shares valued at $3 each.