Tiffany has $50 to join an online music club. The club has a one-time registration fee of $20 and charges $0.50 for each song download. Which inequality may be used to determine the maximum number of songs, s, Tiffany can purchase as a member of the online club? (1 point) Responses 20 + 0.50s > 50 20 + 0.50s > 50 20 + 0.50s < 50 20 + 0.50s < 50 20 + 0.50s ≤ 50 20 + 0.50s ≤ 50 20 + 0.50s ≥ 50 20 + 0.50s ≥ 50 Question 2 (1 point) Tiffany has enough money to download at most songs.

1 answer

To determine the maximum number of songs, \( s \), that Tiffany can purchase as a member of the online music club, we need to set up an inequality based on her budget.

Tiffany has $50 to spend. The one-time registration fee is $20, leaving her with \( 50 - 20 = 30 \) dollars to spend on song downloads. Each song download costs $0.50. Therefore, the total cost for \( s \) song downloads is \( 0.50s \).

The inequality can be set up as follows:

\[ 20 + 0.50s \leq 50 \]

Thus, the correct inequality that may be used to determine the maximum number of songs is:

20 + 0.50s ≤ 50

For Question 2, we need to solve this inequality to find how many songs Tiffany can download:

\[ 20 + 0.50s \leq 50 \] Subtract 20 from both sides:

\[ 0.50s \leq 30 \] Divide both sides by 0.50:

\[ s \leq 60 \]

Tiffany can download at most 60 songs.