Question

which equation is the quadratic variation equation for the relatonship? the variable y varies directly with x^2 and y=36 when x=3

Answer 1

For this case we have a direct variation of the form:

$y = kx ^ 2$

Where,

• k: proportionality constant

We must find the value of k.

For this, we use the following data:

$y = 36\\x = 3$

Therefore, replacing values we have:

$36 = k (3) ^ 2$

Rewriting:

$36 = 9k$

Clearing the value of k we have:

$k = \frac {36} {9}\\k = 4$

Therefore, the direct variation equation is given by:

$y = 4x ^ 2$

Answer:

The quadratic variation equation for the relatonship is:

$y = 4x ^ 2$