Jason got a new mp3 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
To determine which company is the better buy, we need to find the point at which the total cost for both options is equal.
Let x represent the number of songs purchased.
For Company A: Total cost = $1.25x
For Company B: Total cost = $0.65x + $4
Setting the two total costs equal to each other:
$1.25x = $0.65x + $4
$0.60x = $4
x = 4 / 0.60
x = 6.67
Since you can't purchase a fraction of a song, the maximum number of songs that can be purchased for Company A to be a better buy is 6 songs. Any amount of songs greater than 6 would make Company B the better buy due to the one-time $4 membership fee.