A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indiv
idual songs and 2 albums. Person B pays $33.93 to download 4 individual songs and 3 albums. Write a system of linear equations that represents this situation. How much does the website charge to download a song? an entire album?
Amount charged for downloading individual songs = x dollars Amount charged for downloading an entire album = y dollars In respect to person A: 6x + 2y = 25.92 3x + y = 12.96 y = 12.96 - 3x In respect to person B: 4x + 3y = 33.93 Putting the value of y from the first equation in the second, we get 4x + 3(12.96 - 3x) = 33.93 4x + 38.88 - 9x = 33.93 - 5x = - 4.95 x = 0.99 dollars Putting the value of x in the first equation, we get y = 12.96 - 3x = 12.96 - 2.97 = 9.99 dollars
The unit rate here is how much the bike will cost for a day. Looking at the equation, we see the cost per day is $0.50. So, the unit rate is $0.50 per day.
