To solve your question regarding stock value and Malik's earnings, here’s how you can approach each part:
Part 1: Stock Price Increase
- Initial Value: The stock is initially worth $11.50.
- Increase: The stock has an increase of \( \frac{1}{4} \) (which is equivalent to $0.25 when expressed in dollars).
Writing the Addition Expression
To find the new value of the stock after the increase, you can write the expression like this:
\[ 11.50 + 0.25 \]
Evaluating the Expression
Now, you evaluate the expression:
\[ 11.50 + 0.25 = 11.75 \]
So, after the increase, the stock is worth $11.75.
Justification
You know this is the correct expression because you are adding the increase to the original value. The expression \( 11.50 + 0.25 \) accurately represents the operation of increasing the stock by \( \frac{1}{4} \).
Part 2: Malik's Earnings
You mentioned that Malik earns an average of \( 4 \frac{1}{2} \) points (which is \( 4.5 \) when converted to decimal) on his daily performance. If you have a specific question about Malik, or if you're looking for how to calculate his total earnings over a certain period (like weeks or days), please provide more details so I can assist you further.
Example Evaluation
If Malik's average earnings continued for, say, 5 days, you would multiply his average by the number of days:
\[ 4.5 \times 5 = 22.5 \]
This means he would earn a total of 22.5 points over 5 days.
Feel free to specify additional details or questions!