Question

A site offers MP3 downloads with the following price structure: a $2 fixed fee for a monthly subscription plus a fee of $0.40. per song. Write a linear function to model the relationship between the number of songs downloaded and the total monthlycost. Let represent the number of songs downloaded and represent the total monthly cost (in dollars)of downloading songs. *25 pts*

Answer 1

The linear function representing the above function is

F=0.4x+2

Step-by-step explanation:

Let the total monthly cost be represented as $ F

Let the number of songs downloaded in a month be x

Given: cost of downloading one song= $ 0.40

Monthly subscription fee (one time monthly) = $ 2

Hence total monthly cost-

Total monthly cost= cost of downloading “x” songs + monthly subscription fee

Total cost of downloading “x” songs monthly= number of songs downloaded* cost of downloading one song

Total cost of downloading “x” songs monthly=$ 0.4x

Hence Total monthly cost= 0.4x + 2

We have assumed total monthly cost as “F”

F=0.4x+2