greg is considering 2 different plans for music downloads. how many tracks purchased would make plan A the better option?
PLAN A:
$0.97 per track purchased plus
$10.00/ month unlimited PC streaming plus $15.00/month for downloading songs to an MP3 player
PLAN B:
$0.99 per track purchased plus
$9.00 month unlimited PC streaming plus $144.00/year for downloading songs to an MP3 player.
Thank you :)
i know its 201 tracks but i don't know how to get that answer, please help :)
To determine how many tracks purchased would make Plan A the better option, we need to compare the total cost of both plans for a given number of tracks.
Let's assume we want to find the number of tracks that would make Plan A the better option. We can start by calculating the total cost for different numbers of tracks.
For Plan A, the total cost consists of the cost per track, the monthly streaming fee, and the monthly downloading fee:
Total Cost of Plan A = (Number of Tracks purchased x $0.97) + $10.00/month + $15.00/month
For Plan B, the total cost includes the cost per track, the monthly streaming fee, and the annual downloading fee:
Total Cost of Plan B = (Number of Tracks purchased x $0.99) + $9.00/month + $144.00/year
Now, we can set up an equation to find the number of tracks that make Plan A the better option:
(Number of Tracks purchased x $0.97) + $10.00/month + $15.00/month < (Number of Tracks purchased x $0.99) + $9.00/month + $144.00/year
Simplifying the equation, we get:
(Number of Tracks purchased x $0.97) + $25.00 < (Number of Tracks purchased x $0.99) + $9.00 + $12.00
Now, we can solve this equation to find the number of tracks:
(Number of Tracks purchased x $0.97) - (Number of Tracks purchased x $0.99) < $9.00 + $12.00 - $25.00
Number of Tracks purchased x ($0.97 - $0.99) < - $4.00
Number of Tracks purchased x (-$0.02) < - $4.00
Dividing both sides by -$0.02, we get:
Number of Tracks purchased > - $4.00 / (-$0.02)
Number of Tracks purchased > 200
Therefore, Plan A would be the better option if the number of tracks purchased is greater than 200.
Please note that in this calculation, we assumed a constant number of tracks purchased. If the number of tracks changes over time, the better plan might vary.