To determine the maximum number of songs, \( s \), Tiffany can purchase as a member of the online music club, we need to consider her total budget of $50, the one-time registration fee of $20, and the cost per song download of $0.50.
The total amount Tiffany will spend is given by the sum of the registration fee and the cost for the songs. This can be expressed as:
\[ 20 + 0.50s \leq 50 \]
This inequality states that her total spending (registration fee plus the cost of downloading \( s \) songs) cannot exceed $50.
So, the correct choice for the inequality is:
20 + 0.50s ≤ 50
Now, to find the maximum number of songs Tiffany can download, we can solve this inequality for \( s \):
\[ 20 + 0.50s \leq 50 \]
Subtract 20 from both sides:
\[ 0.50s \leq 30 \]
Now, divide by 0.50:
\[ s \leq 60 \]
Thus, Tiffany can download at most 60 songs.