I personally wouldn't spend $50 to get a $10 coin graded and slabbed. Both of those values are a "guesstimate". I have no idea exactly what it costs to get a coin graded, nor the exact value of your coin.
With that said, its your coin and your money. If you prefer to have it graded, by all means do so!
I think its only like 12 to get it graded. And I agree about it not being worth 12 to get a 10$ coin graded. But it does make your coin worth more. Does it make it worth it doubtful