AnswersOC27 MATH COLL LIB ARTS-1207350-S1-Maguire-DAquinoWriting Linear EquationsQuestion 82826
82826
AssignmentMultiple Choice

Writing Linear Equations

Question 82826 • (OC27) MATH COLL LIB ARTS-1207350-S1-Maguire-D'Aquino

Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?

Answer
A
4x + 5y = –100
B
5x + 4y = 80
C
4x + 5y = 16
D
5x + 4y = 20

Explanation

Renata spends the full $20 on 16 songs, so each song costs $20 ÷ 16 = $1.25. After buying x songs, the remaining balance is y = 20 − 1.25x. Multiplying by 4 and rearranging gives 5x + 4y = 80, which is choice B.

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