PLEASE I CAN'T FAIL THIS ANYONE PLEASE!!!!!!!

Question

zzr0ck3r · Answer

you cant fail what?

anonymous · Answer

Find the constant of variation for the quadratic variation.

anonymous · Answer

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

anonymous · Answer

Fail what?

loser66 · Answer

y=6x^2

anonymous · Answer

Write a quadratic variation equation if g(x) varies directly with x2, and g(x) = 144 when x = 6.

mathstudent55 · Answer

A direct variation is expressed by 
$y = kx$

A direct variation with $x^2$ is
$y = kx^2$

You need to find k.
Use the given point to find k:
$g(x) = kx^2$
$144 = k(6^2) $
Solve for k.

anonymous · Answer

so K would be 24?

mathstudent55 · Answer

Notice the 6 is squared.

anonymous · Answer

so the answer is g(x)= 6^2

mathstudent55 · Answer

Not quite.
Can you solve the equation $144 = k(6^2) $?
What do you get for k?

anonymous · Answer

V varies inversely with T and V = 18 when T = 3.  Which equation shows this relationship?

mathstudent55 · Answer

1. Did you ever finish the previous problem?
2. Please make a new post for each new question.

anonymous · Answer

okay
and yes I was 6x^2 and I got a 100%

anonymous · Answer

but can some answer this anyways

anonymous · Answer

V varies inversely with T and V = 18 when T = 3.  Which equation shows this relationship?

mathstudent55 · Answer

$144 = k(6^2)$

$ 144 = 36k$

$k = 4$

$g(x) = 4x^2$ is the correct answer.

anonymous · Answer

okay

mathstudent55 · Answer

Inverse variation is given by

$y = \dfrac{k}{x} $

In this case, 

$V = \dfrac{k}{T} $

Use the known point: V = 18 when T =  3 to find k:

$18 = \dfrac{k}{3} $

Solve for k.

anonymous · Answer

Ya but the answers are either 
v=6/t
v=6t
v=54/t
v=54t

anonymous · Answer

sooo the answer is? V=6/t

anonymous · Answer

$$\frac{ 6 }{ t }$$