Iknow #2 is d. i just need to know why

Explanation

The rate law depends on coefficients in the rate-determining step of this reaction (the slowest step). The equation A + 2 B → C represents the overall reaction. Finding the rate law requires experimental data.  

Compare row 1 and row 2:

[A]₀ is the same in row 2 and row 1;[B]₀ is twice as much in row 2 as in row 1;Rate of change in [C] is four times as much in row 2 as in row 1.2² = 4. As a result, the reaction is of second order with respect to B.

Compare row 1 and row 3:

[A]₀ is twice as much in row 3 as in row 1;[B]₀ is the same in row 3 and row 1;Rate of change in [C] is twice as much in row 3 as in row 1.2¹ = 2. As a result, the reaction is of first order with respect to A.

What would be the rate law of this reaction?

Rate = k · [A] · [B]².

Idon't know hope someone you

Ijust took the quiz. their is no coefficient needed. : )