What is the constant of variation for the quadratic variation?
x 2 3 4 5 6
y 32 72 128 200 288
A.
8
B.
16
C.
24
D.
40
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OpenStudy (ilovecake):
2 3 4 5 6
x^2
4 9 16 25 36
y
32 72 128 200 288
y/x^2 = 8. So, 8 would be your answer which is 8.
OpenStudy (ilovecake):
Which is A I mean
563blackghost (563blackghost):
beat me to it @Ilovecake but yea its A
OpenStudy (anonymous):
can you guys help with another one @Ilovecake and @563blackghost
OpenStudy (anonymous):
What is the constant of variation for the quadratic variation?
x 2 3 4 5 6
y 24 54 96 150 216
A.
12
B.
6
C.
30
D.
18
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OpenStudy (ilovecake):
I love this kind of math so yah I will help
OpenStudy (anonymous):
kk
OpenStudy (ilovecake):
Take each value of x and square it (as this is a quadratic variation). Now take each value of y and divide it by the corresponding value of x^2. Do you see a pattern?
OpenStudy (anonymous):
yes
OpenStudy (ilovecake):
okay now tell me what you think the answer is.
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OpenStudy (anonymous):
D
OpenStudy (anonymous):
18
OpenStudy (ilovecake):
hmmmm look again
OpenStudy (anonymous):
A?
OpenStudy (ilovecake):
no..... keep looking
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OpenStudy (ilovecake):
24/4 = 6
54/9 = 6
96/16 = 6
OpenStudy (anonymous):
Oh...
563blackghost (563blackghost):
24 1,2,3,4,6,8,12,24
54 1,2,3,6,9,18,27,54
96 1,2,3,4,6,8,12,16,24,32,48,96
what numbers are common
OpenStudy (anonymous):
Can you help with another one?
OpenStudy (ilovecake):
SO B would be your answer.
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OpenStudy (anonymous):
Variable y varies directly with x2, and y = 96 when x = 4.
What is the value of y when x = 2?
OpenStudy (ilovecake):
okay
OpenStudy (ilovecake):
sure
563blackghost (563blackghost):
i agree @Ilovecake
OpenStudy (ilovecake):
:)
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OpenStudy (ilovecake):
Do you have anymore? @Soniatonia
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
Variable y varies directly with x2, and y = 96 when x = 4.
What is the value of y when x = 2?
OpenStudy (anonymous):
wait, nvm XD thanks for your help
OpenStudy (ilovecake):
Oh okay. Good luck
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563blackghost (563blackghost):
was happy to help xD
OpenStudy (ilovecake):
yeah. :)
OpenStudy (ilovecake):
Well I will show you how to o it anyway, here: if y = 96 when x = 4 and x gets split in halt and becomes 2, then split 96 in half to make 48. Easy! y = 48: