Answer: 4
Step-by-step explanation:
Translate the english language to mathematical (algebraic) language.
This implies to define the variables and translates the statements into equations.
1) Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song.
Cost = price of the mp3 player + price each song * number of songs
Variables:
number of songs: n
price each son: $3.25
price of the mp3 player: $ 18.00
Cost: c(n), this means that the cost is a function of n.
c(n) = 18 + 3.25n
2) King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?
Using the same procedure used for Adventure Play case:
c(n) = 23 + 2n
3) Equal cost =>
18 + 3.25n = 23 + 2n
=> 3.25n - 2n = 23 - 18
=> 1.25n = 5
=> n = 5 / 1.25
=> n = 4
Answer: the cost will be the same for 4 songs.