Math?

Ok, I've never been good at math... but I think I have this figured out correctly...

The only reason I'm doubting myself is because:
a) Like I said, I'm not good at math... at all.
and b) If my math is correct, this "deal" is just stupid...

I applied for the Southwest Airlines Chase Credit Card and was accepted (yay me!).
I got an email explaining some of the benefits and this is what it said:

$1 spent = 1 reward dollar
1,200 reward dollars = 1 rapid rewards credit
16 credits = FREE roundtrip flight

So I have to spend $1,200 to get ONE credit... 16 credits to get a "free" flight...
which is $1,200 x 16 which equals $19,200..........

Am I dumb, or is this correct?!?!

I certainly feel dumb that I feel like I cannot say with certainty that my math is correct! Maybe it's just the fact that my math IS correct, but the fact that I would have to spend almost 20 grand on other things to get a "free" flight from them is just mind-boggling and getting me all confused! I mean, essentially, they're saying that my "free" flight is really costing $19,200 of other things, some of which may be other flights! No way.

I'll certainly just buy a flight instead of charging all this other stuff on the card to someday maybe getting that free one. Geez la peets!

Oh, and I'll let you know if I ever get that "free" flight. Doubtful.