Jason got a new mp^3 player for his birthday. He is very excited to get started downloading songs. He looks online and finds two companies that offer different pricing options for song downloads. Company A charges $1.25 per song. Company B charges $0.65 per song plus a one-time $4 membership fee.
What is the maximum number of songs that can be purchased in order for Company A to be a better buy?
Responses
A 3 songs3 songs
B 4 songs4 songs
C 5 songs5 songs
D 6 songs6 songs
E 7 songs
Let the maximum number of songs that can be purchased be x.
For Company A: Total cost = $1.25x
For Company B: Total cost = $0.65x + $4
Setting the two costs equal to each other:
$1.25x = $0.65x + $4
$0.6x = $4
x = 6.67
Since you can't purchase a fraction of a song, the maximum number of songs that can be purchased in order for Company A to be a better buy is 6 songs. So the answer is D) 6 songs.