Answer
$42,449.00+0.33(x-174,400)$
Work Step by Step
As stated in the table, the tax owed for the domain $(174,400, 379,150]$ is
$$42,449.00+33\%$$ of the amount over $174, 400$. Therefore, the algebraic expression will be $$T(x)=42,449.00+0.33(x-174,400).$$
