A reaction with alkyl halides in NaI with acetone is by the Sn2
mechanism. The rate for an Sn2 mechanism is directly proportional
to the concentration of the nucleophile:
rate = k[nucleophile][alkylhalide]
If the iodine solution (the nucleophile) is half as
concentrated, then the rate will also be halved.
rate = k [nucleophile]/2 [alkyl halide]