An online music club has a one-time registration fee of $20 and charges $0.50 for each song download. If Ella has $50.00 to join the club and buy songs, which inequality gives the maximum number of songs, s, she can buy?

1 answer

The maximum number of songs Ella can buy depends on how much money she has left after paying the one-time registration fee. She has $50.00 to start with and needs to subtract the $20.00 registration fee. After that, she can divide the remaining money by the cost per song download to find the maximum number of songs. The inequality can be expressed as:

$50.00 - $20.00 - $0.50s ≥ 0

Simplifying further:

$30.00 - $0.50s ≥ 0

Thus, the inequality that gives the maximum number of songs Ella can buy is: $30.00 - $0.50s ≥ 0