For this case we have a direct variation of the form:
[tex]y = kx ^ 2[/tex]
Where,
- k: proportionality constant
We must find the value of k.
For this, we use the following data:
[tex]y = 36\\x = 3[/tex]
Therefore, replacing values we have:
[tex]36 = k (3) ^ 2[/tex]
Rewriting:
[tex]36 = 9k[/tex]
Clearing the value of k we have:
[tex]k = \frac {36} {9}\\k = 4[/tex]
Therefore, the direct variation equation is given by:
[tex]y = 4x ^ 2[/tex]
Answer:
The quadratic variation equation for the relatonship is:
[tex]y = 4x ^ 2[/tex]
