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

Question 2
(1 point)
Tiffany has enough money to download at most
songs.

1 answer

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:

  1. Subtract 20 from both sides:

\[ 0.50s ≤ 30 \]

  1. Divide both sides by 0.50:

\[ s ≤ 60 \]

Thus, Tiffany has enough money to download at most 60 songs.