Take a look at the sentence again:

At the beginning of the semester, Joyce anticipated learning about Egyptian archeology. Her interest __________, however, as the monotonous lectures of Dr. Nelson provided facts dustier than mummy wrappings.

The sentence requires the simple past of shrink, an irregular verb. Shrank is the simple past form.

Verb Simple Present Simple Past Past Participle
shrink shrink(s) shrank shrunk

Shrunck, the form you chose, is a spelling error. Before you continue, review the rules for irregular verbs.

Try again to escape Grammar Hell!

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