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. How many songs will Martin own in a year?380 songs362 songs344 songs329 songs

Answer 1

380 songs

Explanation

a function is the rule that defines the relation between 2 variables,

given the function

$N(m)=200+15m$

the input value is m ( the number of months)

and the output value (N) is the number of songs,

so

Step 1

to know how many songs he will have after 1 year, we need to input the time, but remember the input must be in number of months,hence

$Input\Rightarrow1\text{ year}\Rightarrow12\text{ months}$

evaluate the function for m=12

$\begin{gathered} N(m)=200+15m \\ replace\text{ m= 12 and calculate} \\ N(12)=200+15*12 \\ N(12)=200+180 \\ N(12)=380 \end{gathered}$

therefore, he will own 380 songs

I hope this helps you