Question

Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining

Answer 1

Answer: $y=20-1.25x$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

You need to analize the information given in the exercise.

You know that gift card had a total of $20. Then, since she started to buy the songs with $20, you can identify that:

$b=20$

Since Renata purchased 16 songs and the gift card had a remaining  balance of $0 after this, you can find the cost of each song. This is:

$\frac{20}{16}=\ 1.25$

Therefore, she spent $1.25 per song. This means that the slope is:

$m=-1.25$

Then, you get that the equation that represents the relationship between "y" (the remaining balance on Renata's gift card) and "x" (the number of songs purchased) is:

$y=20-1.25x$