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?
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