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

Answer 1

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.