Question

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 1

The equation that represents the relationship between the remaining balance on Renata's gift card and the number of songs purchased is y = 20 - 1.25x, where x represents the number of songs purchased.

Step-by-step explanation:

The equation that represents the relationship between the remaining balance on Renata's gift card and the number of songs purchased is y = 20 - 1.25x.

Here's how we get to this equation:

1. Let x represent the number of songs purchased.
2. Since Renata starts with a $20 gift card, the initial balance is $20.
3. For each song purchased, $1.25 is deducted from the balance, so the remaining balance can be represented as y = 20 - 1.25x.

For example, if Renata purchased 16 songs, the equation becomes y = 20 - 1.25(16) = 20 - 20 = 0, which matches the given information that the gift card has a remaining balance of $0 after 16 songs are purchased.