To find the new value of the stock after an increase of \( \frac{1}{4} \), we can start by writing an addition expression based on the initial value of the stock and the increase.
- The initial value of the stock is \( 11.50 \).
- The increase is \( \frac{1}{4} \) of a dollar, which is equal to \( 0.25 \).
Now we can write the addition expression:
\[ 11.50 + 0.25 \]
Now we evaluate the expression:
\[ 11.50 + 0.25 = 11.75 \]
Thus, after an increase of \( \frac{1}{4} \), the stock is worth \( 11.75 \).
To confirm that this is the correct expression, we note that we correctly identified the initial stock price and that \( \frac{1}{4} \) corresponds to an increase of \( 0.25 \). Adding this increase to the initial price gives us the new value of the stock accurately.