Question

As part of a social studies class project on economics, Annette and Jeff are researching the benefits of membership in an online music club. Yearly membership with the online music club costs $48. Members pay $0.99 per song to download music. Nonmembers may download songs for $1.29 each. Represent the total cost of songs purchased for members:

A) $0.99 per song
B) $48 yearly membership
C) $1.29 per song
D) $12 for 10 songs

Answer 1

The total cost of songs for members of the online music club is represented by the yearly membership fee of $48 plus $0.99 per song downloaded. Non-members pay $1.29 per song with no membership fee.

Step-by-step explanation:

The question involves a mathematical comparison of costs between being a member and a non-member of an online music club. Specifically, it asks how to represent the total cost of songs purchased for members. To illustrate this, we can set up an equation where the total cost for members (Tmembers) is the sum of the yearly membership fee and the cost per song multiplied by the number of songs downloaded (n): Tmembers = $48 + $0.99n.

In contrast, the total cost for non-members (Tnon-members) is simply the cost per song multiplied by the number of songs: Tnon-members = $1.29n. These equations allow us to analyze at what point, in terms of the number of songs downloaded, membership would become more economical than non-membership.