How does each of the following changes affect the rate of an E2 reaction?
a. tripling [RX]
b. halving [B:]
c. changing the solvent from $\mathrm{CH}_{3} \mathrm{OH}$ to DMSO
d. changing the leaving group from $I^{-}$ to $B r^{-}$
e. changing the base from ${ }^{-} \mathrm{OH}$ to $\mathrm{H}_{2} \mathrm{O}$
f. changing the alkyl halide from $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{Br}$ to $\left(\mathrm{CH}_{3}\right)_{2} \mathrm{CHBr}$