Question 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
Let's assume the maximum number of songs Ella can buy is 's'.
Given:
- One-time registration fee = $20
- cost per song download = $0.50
The total cost of songs downloaded can be calculated as:
Total_cost = cost_per_song * number_of_songs
Since Ella has $50.00, the total cost of songs downloaded cannot exceed $50.00.
Therefore, the inequality can be written as:
0.50s + 20 ≤ 50
Simplifying the inequality, we get:
0.50s ≤ 50 - 20
0.50s ≤ 30
Dividing both sides by 0.50 to solve for 's', we get:
s ≤ 30 / 0.50
s ≤ 60
Hence, the maximum number of songs Ella can buy is 60, and the inequality is s ≤ 60.