Answer
Quadratic
Since the second differences aren't the same, the equation won't fit perfectly.
Work Step by Step
$197-52=145$
$447-197=250$
$805-447=358$
$1270-805=465$
$250-145=105$
$358-250=108$
$465-358 =107$
The second differences are almost the same, so a quadratic function would work.