Corinna has $88. She wants to buy a $264 plane ticket. She will save up her earnings from working at the museum where she earns $16 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $264?

Answer 1

To determine how many hours Corinna needs to work to afford the plane ticket, we can set up the inequality based on her current savings and her earnings.

1. Corinna currently has $88.
2. She needs a total of $264 for the plane ticket.
3. She earns $16 per hour.

She needs to save enough money such that her total savings (current savings + earnings from working) is at least $264. Therefore, the inequality can be set up as follows:

\[ 88 + 16n \geq 264 \]

Where:

• \( n \) is the number of hours she needs to work,
• \( 88 \) is her current amount of money,
• \( 16n \) represents the total money she earns from working \( n \) hours.

This inequality represents the condition that her total amount of money (current amount + earnings) must be at least $264.