You have $39 to spend at the music store. Each cassette tape costs $5 and each CD costs $11. Write a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.

Verified Answer :

5x + 11y < = 39 (thats a less then or equal sign)

Answer:  The required inequality is \(5x+11y\leq 39.\)

Step-by-step explanation:  Given that we have $39 to spend at the music store. Each cassette tape costs $5 and each CD costs $11.

We are to write a linear inequality that represents this situation.

The number of tapes and the number of CDs are represented by x and y respectively.

The cost of x tapes is given by

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and the cost of y CDs is given by

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Since we have $39 to spend, so the inequality that represents the situation is

\(5x+11y\leq 39.\)

Thus, the required inequality is \(5x+11y\leq 39.\)