To represent the situation with a linear inequality:
- Let \( x \) be the number of cassette tapes.
- Let \( y \) be the number of CDs.
Each cassette tape costs $5, so the total cost of cassette tapes would be \( 5x \).
Each CD costs $12, so the total cost of CDs would be \( 12y \).
The total amount you have to spend is $45 or less. Therefore, the inequality should represent the total cost of cassette tapes and CDs being less than or equal to $45.
So, the correct linear inequality is:
\[ 5x + 12y \leq 45 \]
This is choice:
\[ 5x + 12y \leq 45 \]
9.
You have $45 to spend at the music store. Each cassette tape costs $5 and each CD costs $12. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.
12x + 5y ≤ 45
5x + 12y ≥ 45
5x + 12y ≤ 45
12x + 5y ≥ 45
1 answer