Write a linear inequality that represents this situation. Let x represent the n

Mathematics
Tutor: None Selected Time limit: 1 Day


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.

a.  12 x +  5 y   ≥ 45
b.  5 x + 12 y ≤  45
c.  12 x + 5 y ≤  45
d.  5 x + 12 y  ≥  45
Apr 29th, 2015

You have a MAXIMUM of $45 dollars to spend.  Therefore, the total money you spend on CDs PLUS on cassette tapes cannot exceed $45 dollars.  In other words, the total cost of CDs PLUS cassette tapes must be LESS THAN OR EQUAL to the money you have to spend which is $45 dollars.  So, translating that to an inequality looks like:

[cost of CDs] + [cost of cassettes] <= $45

Now, we need to write a mathematical expression for the [cost of CDs] and for [cost of cassettes].  First consider the cost of CDs.  We know that each CD costs $12 (given in the problem).  It also says that "y" represents the number of CDs (given).  So, if we bought "y" amount of CDs, and each one cost $12, then the TOTAL amount we spent on CDs must be $12 multiplied by "y".  Or, we will say we spend 12y.

So, [cost of CDs] can be replaced with 12y.

Similarly with the total cost of cassettes, we know each cassette costs $5 (given in the problem), and "x" represents how many cassettes we bought (given).  So, the total amount we spend buying those cassettes is $5 multiplied by "x", or 5x.

[cost of cassettes] can be replaced with 5x.

Now rewriting the inequality above:

[cost of CDs] + [cost of cassettes] <= 45  becomes....

12y + 5x <= 45

So the answer is B.

Apr 29th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 29th, 2015
...
Apr 29th, 2015
Dec 10th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer