Question

Martin is planning to collect new songs in his iTunes. The number of songs in Martin’s iTunes collection is modeled by N(m) = 200 + 15m, where m is the number of months. What does the number 15 tell you about Martin’s iTunes collection?

Answer 1

The given formula that models the number of songs in Martin's iTunes collection is:

$N(m)=200+15m$

Where m is the number of months.

We can interpret the terms in this formula as: 200 is the current number of songs in Martin's collection, and 15 is the number of new songs Martin adds every month.

We can prove this by replacing m=1, so:

$\begin{gathered} N(1)=200+15*1 \\ N(1)=200+15 \\ N(1)=215 \end{gathered}$

So, in the first month, Martin will have 215 songs, for a total of 15 new songs.

The answer is: Every month, Martin adds 15 new songs.