To determine the maximum number of songs, \( s \), that Tiffany can purchase after paying the registration fee, we need to set up an inequality using the total amount available and the costs involved.
Tiffany has $50 to spend, which includes a one-time registration fee of $20. After the registration fee, she has:
\[ 50 - 20 = 30 \text{ dollars remaining} \]
Each song download costs $0.50. Therefore, the cost for \( s \) songs is:
\[ 0.50s \text{ dollars} \]
To find the maximum number of songs Tiffany can download, we need the total cost (registration fee plus song downloads) to be less than or equal to $50:
\[ 20 + 0.50s \leq 50 \]
This can be rearranged to determine how many songs she can afford.
Thus, the correct inequality is:
20 + 0.50s ≤ 50
For Question 2, to find how many songs Tiffany can download:
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Solve the inequality:
\[ 20 + 0.50s \leq 50 \ 0.50s \leq 50 - 20 \ 0.50s \leq 30 \]
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Divide by \( 0.50 \):
\[ s \leq \frac{30}{0.50} \ s \leq 60 \]
So, Tiffany has enough money to download at most 60 songs.