To find the correct inequality that represents Tiffany's situation, we start with her total budget of $50. The costs involved are a one-time registration fee of $20 and $0.50 for each song download. Tiffany wants to spend less than or equal to her total budget.
We can formulate the inequality as follows:
- The registration fee is $20.
- The cost per song is $0.50, so for \( s \) songs, the cost will be \( 0.50s \).
- The total cost can be represented as \( 20 + 0.50s \).
We want the total cost to be less than or equal to her total budget of $50. Therefore, we can write:
\[ 20 + 0.50s ≤ 50 \]
This means to find the maximum number of songs she can buy, so the correct answer for the first question is:
20 + 0.50s ≤ 50
Now, to determine the maximum number of songs, we solve the inequality:
- Subtract 20 from both sides:
\[ 0.50s ≤ 30 \]
- Divide both sides by 0.50:
\[ s ≤ 60 \]
Thus, Tiffany has enough money to download at most 60 songs.