Treys online music club charges a monthly rate of $20 plus $0.80 per song download. Debs online music club charges a monthly rate of $21 plus $0.60 per song download. For what number of songs will the monthly charge be the same for both clubs? How much will it cost?
Accepted Solution
A:
For this case, the first thing we must do is define variables. We have then: x: number of songs. y: total charge For Treys online music club: [tex]y = 0.80x + 20
[/tex] For Debs online music club: [tex]y = 0.60x + 21
[/tex] Equaling both equations we have: [tex]0.80x + 20 = 0.60x + 21
[/tex] Clearing x we have: [tex]0.80x - 0.60x = 21 - 20
0.20x = 1
x = 1 / 0.20
x = 5 songs[/tex] Substituting the value of x for any of the equations we have: [tex]y = 0.60 (5) + 21
y = 3 + 21
y = 24 $[/tex] Answer: The monthly charge will be the same for 5 songs in both clubs. the cost will be $ 24