The curve $$y = \frac{3}{2}\sqrt x, x \geq 0$$; the $$x$$-axis; the lines $$x - 1 = 0$$ and $$x - 4 = 0$$ form a closed region R in the first quadrant. A straight line $$y = mx$$ divides the region R into two parts of equal area. Then the value of $$m$$ is

A

$$\frac{1}{3}$$

B

$$\frac{2}{5}$$

C

$$\frac{6}{17}$$

D

$$\frac{7}{15}$$