Kat's boss said, "I know you're not scheduled to work this weekend, but if you come in, you'll get paid extra. If you don't show up, don't expect to pick up as many hours in the near future." This statement from Kat's boss is most closely an example of what?

Thromise.

Explanation:

The word 'thromise' is a combination of two words, threat, and promise. A statement can be said as a thromise which may sound like a promise but serves as a threat.

In the given case, the statement of Kat's boss is an example of thromise. It is because his statement consists of both promise and threat. Though it may look like he is promising to give extra payment for the work but there's a threat as well of not being able to get flexible hours of working.

Thus, the correct answer is thromise.