To find out how much the stock worth $11.50 is after a fractional increase of \( \frac{1}{4} \), we can write an addition expression to represent this.
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Write the Expression: The initial value of the stock is \( 11.50 \), and the increase is \( \frac{1}{4} \) of a dollar. To represent this as an expression, we can write: \[ 11.50 + \frac{1}{4} \]
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Evaluate the Expression: First, we need to convert \( \frac{1}{4} \) to decimal form. \( \frac{1}{4} = 0.25 \). Now we can evaluate the expression: \[ 11.50 + 0.25 = 11.75 \]
So, the stock after the increase of \( \frac{1}{4} \) will be worth $11.75.
Verification of the Expression
The expression \( 11.50 + \frac{1}{4} \) correctly represents the initial value of the stock and the increase of a quarter of a dollar. By converting \( \frac{1}{4} \) into decimal and performing the addition, we confirm that the resulting value of $11.75 is accurate.
For your second part about Malik earning an average of \( 4 \frac{1}{2} \) points daily, if you want to calculate his average daily score or some total over a number of days, you might clarify that. For example, if Malik earns an average of \( 4 \frac{1}{2} \) points over multiple days, you can express this as:
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Convert Mixed Number to Improper Fraction: \[ 4 \frac{1}{2} = \frac{9}{2} \]
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To find the total over 'd' days: The expression would be: \[ \text{Total Points} = 4 \frac{1}{2} \times d = \frac{9}{2} \times d \]
If you specify how many days you are referring to, I can help calculate the total points Malik earns in that time!
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