Question

You have $32 to spend at the music store. Each cassette tape costs $5 and each CD costs $9. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.

5x + 9y ≥ 32
5x + 9y ≤ 32
9x + 5y ≥ 32
9x + 5y ≤ 32

Answer 1

5x + 9y ≤ 32

Explanation:

Each cassette tape costs $5 and each CD costs $9

Let x represent the number of tapes and y the number of CDs.

The cost of the cassettes is the number of cassettes times the cost per cassette and the cost of the tapes is the number of tapes times the cost per tape. We add these together to get the total cost. The total cost must be less than or equal to 32

32≥5x+9y