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anonymous
 one year ago
Steve's doctor has advised him to take protein supplements. He bought two brands, Brand A and Brand B. The table gives the amount of calcium, iron, and vitamins (in milligrams per spoonful) in each of the two brands.
Brand Calcium Iron Vitamins
A 5 4 7
B 4 6 4
Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities? Select all the correct answers.
anonymous
 one year ago
Steve's doctor has advised him to take protein supplements. He bought two brands, Brand A and Brand B. The table gives the amount of calcium, iron, and vitamins (in milligrams per spoonful) in each of the two brands. Brand Calcium Iron Vitamins A 5 4 7 B 4 6 4 Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities? Select all the correct answers.

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UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I think it's misaligned dw:1436246092831:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, it is out of alignment...calcium is 5, iron is 4 and vitamins are 7 for brand A. Brand B has calcium 4, iron is 6 and vitamins are 4. the possible solutions (ordered pairs) are: (1,4) ; (1,5) ; (2,3) ; (3,2) or (4,1)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6dw:1436246945999:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6It is given that `Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins` One way to approach this problem is to graph the inequalities corresponding to the 3 inequalities and simply pick the points that belong to common region : \[5A+4B\ge 24\tag{1}\] \[4A+6B\ge 16\tag{2}\] \[7A+4B\ge 15\tag{3}\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6graphing the inequalities gives us dw:1436247354463:dw simply pick the ordered pairs that belong to the common region

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6below, the common region is shaded in light blue : dw:1436247428915:dw we just need to figure out which ordered pairs fall in this region

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6For example, the ordered pair `(1,4)` is not a solution because it doesn't fall in the common region : dw:1436247749735:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm sorry, but I don't see a light blue area on the graph??? If you are looking at the lighter colored purple region, I don't see any of the ordered pairs fitting into this area.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6Thats okay, the actual color is not important at all. Its the common region that you need to figure out from the graphs. Can you plot `(1, 5)` in above graph ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, it looks like 1,5 falls w/in the common region of all three lines

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6good, so (1,5) is indeed a solution. just so you know, you may click the "pencil" button on top right corner of a drawing to reply.. it actually pastes that drawing in your reply so that you may annotate over it

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6dw:1436248626643:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6How about remaining ordered pairs, do any of them fall in the common region ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think 4,1 falls on the line...so would ordered pairs falling on the line be included in the solution set for nonstrict inequalities?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6Absolutely! "at least" refers to nonstrict inequality, so the boundary points are also part of the solution set.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6dw:1436249074491:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6dw:1436249204439:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for your help! The graph really helped.

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.6Glad it helped, yw! Btw there is an alternative : You could plugin each of the given ordered pairs into the inequalities and pick the ordered pairs that satisfy all the inequalities. This is more algebra and doesn't give as much insight as the graphs give... But you should also get used to this alternative method as graphing might not be always possible.. good luck!
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