Direct variation is y = kx, where k is the constant of variation.
But now it says y varies directly with x2 (or 2x), so now the x in the equation is 2x.
The equation is y = k(2x)
Now you find k.
y = 96 when x = 4.
(96) = k(2*4)
96 = k(8)
k = 12
The equation is now y = 12(2x)
To find the value of y when x=2, plug 2 into the equation you made.
y = 12(2*2)
y = 48
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Now it's with a "quadratic variation," which is the same thing except x is squared.
The equation is y = kx^2
But y varies directly with x2 (same thing as 2x), so now it's y = k(2x)^2.
Now you find k by substituting y and x values that were given.
y = 180 when x = 6
(180) = k(2*6)^2
180 = k(12)^2
180 = k(144)
k = 1.25
k, 1.25, is the constant of variation.
10,000,000 + 5,000,000 + 300,000 + 40,000 + 70 + 8
Answer:
60 goody bags
Step-by-step explanation:
1 kg = 1000 g
6.2 kg = 6,200 g
Empty box = 200 g
Box + goody bags = 6,200 g
Weight of Goody bags = Box + goody bags - empty box
= 6,200g - 200g
= 6,000 grams
Each goody bag = 100 g
how many goody bags are inside the box
Number of goody bag in the box = total weight of goody bag / weight of each goody bag
= 6,000 grams / 100 grams
= 60 goody bags
There are 60 goody bags in the box
204 is my answer. Hope it helps.
To produce 5 guns they lose 5 butter so I think opportunity cost of one gun would be one butter.
