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Beyunka recieved a $50 dollar gift card. She uses it to buy an album at $9.99. She also wanted to use it to buy some songs. Which inequilies describes this situation, where n is the number of sngs Beyunka wants to buy?

A. 9.99 + 1.29 ≥ 50
B.9.99 + 1.29 ≤ 50
C.9.99 - 1.29 ≥ 50
D.9.99 - 1.29 ≤ 50

1 Answer

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Final answer:

The correct inequality to represent Beyunka's scenario of buying songs after purchasing a $9.99 album with a $50 gift card is 9.99 + 1.29n ≤ 50, denoting that the cost of the album and songs must be less than or equal to the value of the gift card. The correct option is B.

Step-by-step explanation:

The situation presented involves Beyunka who received a $50 gift card and has already used it to purchase an album for $9.99. Now, she wants to buy additional songs, each priced at $1.29. To describe the situation using inequalities where 'n' represents the number of songs Beyunka wants to buy, we have to take into consideration the initial gift card balance, the cost of the album, and the cost per song.

Beyunka's remaining balance after buying the album is $50 - $9.99 = $40.01. With each song costing $1.29, if we multiply the number of songs by the cost per song, we can represent the total cost for 'n' number of songs as 1.29n. To ensure Beyunka does not exceed the remaining balance on her gift card, the combined cost of the songs must be less than or equal to $40.01.

The correct inequality representing this situation is:

B. 9.99 + 1.29n ≤ 50

Thus, option B is the correct answer.

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