In a reaction, `A + B rarr` Product, rate is doubled when the concentration of B is doubled, and rate increases by a factor of 8 when the concentration of both the reactants (A and B) are doubled. Rate law for the reaction can be written as

Options

A. `Rate = k[A] [B]^2`
B. `Rate = k[A]^2 [B]^2`
C. `Rate = k[A] [B]`
D. `Rate = k[A]^2 [B]`