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?

Step-by-step explanation:

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

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:

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:

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

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:

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2