Question

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

Answer 1

you have $32

you can't spend more than that but you can spend less if you want, or you can spend exactly the amount you have.

the total cost will depend on how many cassettes you buy and how many CDs you buy

knowing this information, you can set up the inequality:

32 ≥ 5x + 9y

hope this helped

Answer 2

The Problem:

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.

Solution:

Let x be the number of cassette tapes you purchase.

Let y be the number of CDs you purchase.

In this situation, you only have $32 to spend, so you want to make sure that the total you spend is

less than or equal to $32.

Different combinations of tapes and CDs are possible. We want an equation showing this relationship.

One cassette tape costs $5. The cost for any number of cassette tapes is $5 times the number

purchased; that's 5 times x, or 5x.

To find the cost of CDs purchased, we multiply $9 times the number of CDs, $9 times y or 9y.

The cost of the total purchase is

[the cost of the cassettes] + [the cost of the CDs] or

5x + 9y

We want this total cost to be less than or equal to $32, so we write

5x+9y<32