Question

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. 5x + 12y ≥ 45 5x + 12y ≤ 45 12x + 5y ≥ 45 12x + 5y ≤ 45

Answer 1

Hi there.

In the problem, it states that you have $45 to spend - this means it has to be exactly $45 or less than that.

We also know that we're gonna add the price of the cassettes & CDs.

The order of the numbers went $5 for each cassette, & $12 for each CD.

5x + 12y is equal to or less than 45

Hope this helped :p

Answer 2

Option (2) is correct.

5x + 12y ≤ 45

Explanation:

Given: You have $45 to spend at the music store. each cassette tape costs $5 and each cd costs $12.

We have to write a linear inequality that represents the given situation.

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

Since, each cassette tape costs $5

then, cost of x tapes is 5x

Also, each cd costs $12

then, cost of y tapes is 12y

Since, he can spend $45 at the music.

Thus, this can be write as linear equation as ,

5x + 12y ≤ 45.

Thus, option (2) is correct.