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January 12th, 2017, 09:39 PM   #1
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Question Write a System of Inequalities for this Problem..?

A music store is selling CDs for either $10 or $15. A customer wants to spend between $30 and $60 on the CDs. Write the system of inequalities that represents this situation and graph its solution region.

Could anyone point me in the right direction with this? I really have no clue where to start.

Any help would be appreciated!

Thanks in advance!
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January 12th, 2017, 11:15 PM   #2
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the customer buys $m$ cds at $10$ and $n$ cds at $15$

they thus spend a total of $10m + 15n$

write the two inequalities that compare this to the amount the customer wants to spend.
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January 12th, 2017, 11:34 PM   #3
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Quote:
Originally Posted by romsek View Post
the customer buys $m$ cds at $10$ and $n$ cds at $15$

they thus spend a total of $10m + 15n$

write the two inequalities that compare this to the amount the customer wants to spend.
So, would they be:

10m+15n≥30
10m+15n≤60

?
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January 12th, 2017, 11:36 PM   #4
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Originally Posted by Indigo28 View Post
So, would they be:

10m+15n≥30
10m+15n≤60

?
yessir
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January 12th, 2017, 11:38 PM   #5
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yessir
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