Answer
The induced current is counterclockwise.
Work Step by Step
Note that the slope of each $B$ versus $t$ curve is $\frac{dB}{dt}$
We can find an expression for the change in the net magnetic field through the loop as $t$ increases:
$\Delta B_{net} = (2.0~\mu T/s+ 1.0~\mu T/s -5~\mu T/s)~t$
$\Delta B_{net} = -(2.0~\mu T/s)~t$
The net magnetic field is increasing in the -z direction which results in an increasing magnetic flux through the loop in the -z direction.
According to Lenz's law, the induced current opposes this change. By the right hand rule, the induced current is counterclockwise.
