Lin got a $80 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29.

Question

Which inequality describes this situation, where n is the number of songs Lin wants to buy?
9.99+1.29n≥80
9.99+1.29n≤80
9.99−1.29n≥80
9.99−1.29n≤80

Answer 1

To set up the inequality for this situation, we need to account for Lin's current spending and how much she has left on the gift card after purchasing the album.

1. Lin starts with an $80 gift card.
2. She spends $9.99 on an album, leaving her with \( 80 - 9.99 \).
3. Each song costs $1.29, and if she buys \( n \) songs, her total spending on songs will be \( 1.29n \).

After buying the album, the total amount Lin can spend with the gift card is still \( 80 \), so the equation after buying the album and songs is:

\[ 9.99 + 1.29n \leq 80 \]

This inequality states that the total amount spent on the album and songs must be less than or equal to the total value of the gift card.

Thus, the correct answer is:

9.99 + 1.29n ≤ 80.