Mark and Nancy are making punch for a party and are using two types of juice: pineapple and papaya. The total number of quarts must be more than 9 but less than 15. They should use at least 4 quarts of each type. We want to find out how many quarts of each juice they should buy.

First graph the system below and describe the shape of the solution area.

x + y ≥ 9; x + y ≤ 15; x ≥ 4; y ≥ 4

Question

Mark and Nancy are making punch for a party and are using two types of juice: pineapple and papaya. The total number of quarts must be more than 9 but less than 15. They should use at least 4 quarts of each type. We want to find out how many quarts of each juice they should buy.

First graph the system below and describe the shape of the solution area.

x + y ≥ 9; x + y ≤ 15; x ≥ 4; y ≥ 4

jack1 · Answer

k so do u know how to start? which part are you struggling with ?

anonymous · Answer

no

anonymous · Answer

i dont understand at all

jack1 · Answer

ok, well lets start here:
x is greater than 4
find where x = 4
everything to the right of that should be shaded
have a look at the attachment for reference

anonymous · Answer

ok now what

anonymous · Answer

i really don't understand this problem at all

jack1 · Answer

well... now we'd look at where y is greater than 4
and draw it on the same graph
and see where the 2 overlap
have a look at the attached for reference

usukidoll · Answer

given: we have to use at least 4 quarts for pineapple and papaya 
these equations/ inequalities...describes the situation
x ≥ 4; y ≥ 4

usukidoll · Answer

and Jack just did that XD!

usukidoll · Answer

but should we assign x to be pineapple and y to be papaya?

jack1 · Answer

next, graph on the same plane, where x + y >or = to 9
eg x = 0, y = 9, x = 1, y =8, x = 2, y = 7... etc... connect these points and shade everything to the right... kinda similar to the attached  ;)

jack1 · Answer

ok, now u try @sistrunk23 
the last inequality is x + y is less than 15
so draw that line on the same graph you've been doing, and as it's LESS THAN... shade everything to the left of that line....

jack1 · Answer

k... so how are you going... do u need a hand?

anonymous · Answer

yeah

anonymous · Answer

i don't get this

jack1 · Answer

ok well|dw:1435926693841:dw|
here's a graph... so solve the below 2 point for me:
now if x  + y = 15
then if x = 0, y = ???

jack1 · Answer

awww... gone...
kk if u come back, it's a straight line, so 1 point is (0 , 15) and another is (15, 0)
so draw those 2 points on the graph, and its LESS THAN, so shade everything to the left
should end up looking something like the attached

jack1 · Answer

the circled bit is where everything overlaps, so yeah... its the section that follows all the rules, so it's what u want

usukidoll · Answer

so we were looking for intercepts
x-intercept - set y =0
y-intercept - set x =0

anonymous · Answer

just forget it but thanks for trying to help me