You have a collection of CDs whose songs you want to transfer to your new MP3 player. The MP3 player has 32,000 megabytes (MB) of storage. An average song lasts 4 minutes and requires 40 MB of storage on a CD. a. Write a function that gives the number S of songs that your MP3 player can store if the average file size of a song is s MB. b. If you were to transfer the songs from your CDs in their current size, how many songs could you expect to store on your MP3 player? c. The MP3 file format compresses songs without much loss in the quality of the sound. Typically, the MP3 format compresses a CD file to a tenth of its size. How many songs from your CDs can you expect to store as MP3 files on your MP3 player? d. In general, if you could use a file format that compresses the songs on your CDs by a factor of 1f where f > 1, how many songs in that format can you expect to store on your MP3 player?