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Sherry has a gift card that she plans to use for buying individual songs and movies. . Her gift card is for $25. • Movies cost $5.99 to download and individual songs cost $0.99 to download. • She wants to buy at least 2 movies and at least 8 songs. Which system of inequalities represents the number of movies, x, and the number of songs, y, that Sherry can download?

A X≤2 y≤ 8 5.99x + 0.99y ≥ 25
B. X > 2 y > 8 5.99x +0.99y > 25
C. x ≥ 2 y28 5.99x + 0.99y ≤ 25
D. x < 2 y < 8 5.99x + 0.99y < 25​

User Tikky
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1 Answer

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Answer: Sherry wants to buy at least 2 movies and at least 8 songs, and her gift card has a value of $25. To represent this information as a system of inequalities, we can use the following:

Let x be the number of movies Sherry buys, and y be the number of songs she buys.

The cost of buying x movies is 5.99x dollars, and the cost of buying y songs is 0.99y dollars. Since Sherry's gift card is worth $25, we have the inequality:

5.99x + 0.99y ≤ 25

In addition, Sherry wants to buy at least 2 movies, which means x must be greater than or equal to 2. She also wants to buy at least 8 songs, which means y must be greater than or equal to 8. This gives us the inequalities:

x ≥ 2

y ≥ 8

Therefore, the system of inequalities that represents the number of movies and songs that Sherry can download is:

x ≥ 2

y ≥ 8

5.99x + 0.99y ≤ 25

The answer is (A).

Explanation: