Destroyer Rate law help!

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Both ways are correct as long as you setup the problem correctly. In my opinion its better if you set it up larger over smaller, which makes more sense visually.
 
That is stupid long math. A waist of time. No need to do those ratios. Just do it in your head.

**think... if B is held constant and I double A: the rate increased by 4

That is a square relationship. Therefore the order is 2. How do I check? [2]^2 = 4.

This is true because you doubled the reactants of A (2) and the rate increased by 4. The square. This is not hard math that is meant to be "calculated".
 
That is stupid long math. A waist of time. No need to do those ratios. Just do it in your head.

**think... if B is held constant and I double A: the rate increased by 4

That is a square relationship. Therefore the order is 2. How do I check? [2]^2 = 4.

This is true because you doubled the reactants of A (2) and the rate increased by 4. The square. This is not hard math that is meant to be "calculated".

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