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-lime $4 membership fee.
What is the maximum nümber of songs that can be purchased in order for Company A to be a better buy?
To determine the maximum number of songs that can be purchased in order for Company A to be a better buy, we need to compare the total cost of purchasing songs from Company A and Company B.
For Company A, the total cost is $1.25 per song.
For Company B, the total cost is $0.65 per song plus a one-time $4 membership fee.
Let's set up an equation to represent the total cost for each company:
Company A: $1.25n, where n represents the number of songs purchased
Company B: $0.65n + $4
Now, we need to find the maximum number of songs that makes Company A a better buy. This can be determined by setting the total cost for Company A equal to the total cost for Company B:
$1.25n = $0.65n + $4
Subtract $0.65n from both sides:
$0.60n = $4
Divide both sides by $0.60:
n = 4 / $0.60
n = 6.66666666667
Since we cannot purchase a fraction of a song, we must round down to the nearest whole number. Therefore, the maximum number of songs that can be purchased in order for Company A to be a better buy is 6 songs.