Answer
The magnitude of the induced emf is $~~31~mV$
Work Step by Step
We can find the induced emf:
$\mathscr{E} = -\frac{d\Phi}{dt}$
$\mathscr{E} = -(12t+7.0)$
$\mathscr{E} = -[(12)(2.0)+7.0]$
$\mathscr{E} = -31~mV$
The magnitude of the induced emf is $~~31~mV$