Question

Find 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

Answer 1

@whpalmer4

Answer 2

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?

Answer 3

Its B? correct?

Answer 4

Let's see:

x 2 3 4 5 6
y 24 54 96 150 216

x^2 = 4 9 16 25 36

24/4 = 6
54/9 = 6
96/16 = 6
yep! :-)

Answer 5

I get it now! thanks =)

Answer 6

Write a quadratic variation equation if g(x) varies directly with x2, and g(x) = 108 when x = 6.

A. g(x) = 1/3x^2
B. g(x) = 3x^2
C. g(x) = 6x^2
D. g(x) = 16x^2

@whpalmer4

Answer 7

B... :/

Answer 8

Is my answer wrong..?

Answer 9

if g(x) varies directly with \(x^2\) then \(g(x) = kx^2\) where \(k\) is the constant of variation

\[g(x) = kx^2\]\[g(6) = 108 = k(6)^2\]\[108=k*36\]\[k=3\]so your answer is correct!

Answer 10

varies directly means constant * thing varying
varies indirectly means constant / thing varying
varies jointly means constant * things varying

Answer 11

Yay! thanks! can you help me with just one more? graphs.. I'm not soo good with them. I think I know the answer tho..

Answer 12

okay, post a different problem and nudge me via "@whpalmer4" please

Answer 13

ok