The number of songs, Megan can download varies inversely as the price per song,. Which equation best models the number of songs she can download?

Answer: Hello!

in this problem, Megan can download a number of songs, and the number of songs that she can download depends on the price of each song.

Then we could assume that Megan has a maximal amount that she can spend, let's call it M, lets cal p at the price of each song, and N at the number of songs that she can download.

then N*p (this is the number of songs she can download multiplied by the price of each song) should be equal or less than M, where the max amount of songs that she can download is when N*p is equal to M.

then we could obtain the maximum number of songs that she can download if we know the maximum amount that she can spend and the price of each song by the next equation:

N = M/p.

Where n = number of songs, p = price per song

n = 1/p