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?

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Thu May 05 2022

According to the question, Renata has $20 in gift card and when she bought 16 songs her balance in gift card = $0

so, Cost of 16 songs = $20

then, Cost of 1 song = 20/16 = $ 1.25

now, let number of songs purchased by her= x

and, balance on her gift card= y

So, now cost of x songs = 1.25 * x = 1.25x

now, balance = 20 - 1.25 x

so, Required equation representing relationship between balance on gift card and number of song purchased is y = 20 - 1.25x

1.25x + y = 20

now, we have to multiply both sides of equation with 4, we get 5x + 4y = 80