To find the amount of change \( X \) that Karma receives after buying an item that costs $3.74 and giving the cashier $10, you can set up the following equation:
- The total amount given to the cashier is $10.
- The cost of the item is $3.74.
- The change \( X \) that Karma receives can be calculated as the difference between the amount given and the cost of the item.
Thus, the equation can be set up as follows:
\[ 10 - 3.74 = X \]
This simplifies to:
\[ X = 10 - 3.74 \]
Solving this gives:
\[ X = 6.26 \]
Therefore, Karma receives $6.26 in change.
From the options you provided, the correct equation that corresponds to this reasoning is:
D: \( X - 10 = 3.74 \).
However, this equation appears incorrect as it does not accurately represent the situation. The correct equation should be \( 10 - 3.74 = X \), which is not listed among your options.
Thus, the value of change Karma received is $6.26.