You have $37 to spend at the music store. Each cassette tape costs $10 and each

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Mathematics

Description

You have $37 to spend at the music store. Each cassette tape costs $10 and each CD costs $13. Write  a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.

a.  10x + 13 y ≥ 37

b.  13x + 10y ≤ 37

c.  13x + 10y ≥ 37

d.  10x +  13y ≤ 37

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Explanation & Answer

The answer is D, 10x +13y </= 37.

You can only spend $37 dollars, so the total amount you spend needs to be less than or equal to $37. The amount you spend on tapes is equal to the cost per tape, $10, multiplied by the number of tapes you buy, x - so it's represented by "10x." The amount you spend on CDs is equal to the cost per CD, $13, multiplied by the number of CDs, y - so it's represented by "13y."  Adding these two amounts gives you your total, which must be less than or equal to $37. Putting it all together, we get:

10x + 13y </= 37, answer D.


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