Corinna has $80. She wants to buy a $256 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 $256?

Answer 1

To determine how many hours Corinna needs to work in order to afford the $256 plane ticket, we can set up an inequality.

Corinna starts with $80, and she earns $16 per hour. If she works \( n \) hours, her total savings will be the amount she starts with plus the earnings from her work. This can be expressed as:

\[ 80 + 16n \]

She needs this total amount to be at least $256, which gives us the inequality:

\[ 80 + 16n \geq 256 \]

To summarize, the inequality that shows the number of hours \( n \) Corinna must work is:

\[ 80 + 16n \geq 256 \]