To determine the correct inequality that describes the situation, we start with the amount Lin has on her gift card ($50) and subtract the cost of the album she already purchased ($9.99).
Let \( n \) represent the number of songs she wants to buy, and since each song costs $1.29, the total cost of the songs will be \( 1.29n \).
After purchasing the album, the remaining balance on the gift card is:
\[ 50 - 9.99 \]
Thus, Lin needs to make sure that the total amount spent on the songs does not exceed the remaining balance:
\[ 1.29n \leq 50 - 9.99 \]
This simplifies to:
\[ 1.29n \leq 40.01 \]
However, we need to express this in terms of the inequality that combines the cost of the album and the songs together. So, we can express this situation based on the original total:
\[ 9.99 + 1.29n \leq 50 \]
This means that the total amount spent (the cost of the album plus the cost of the songs) should be less than or equal to the total gift card amount of $50.
Therefore, the correct inequality is:
\[ \boxed{9.99 + 1.29n \leq 50} \]
1 answer