You have discovered an E. coli mutant that expresses a lac operon cap protein that is unable to bind cAMP. If you grew that mutant in glucose, lactose, IPTG, and glucose and lactose how would the galactosidase activity differ from an E. coli strain containing a functional lac operon? What would happen if you tested an E. coli strain that contains a CAP protein that can bind DNA even in the absence of cAMP?