A scientist examines a bacterium and learns that it carries a gene that makes it resistant to antibacterial medication. Because bacteria reproduce through, it's likely that of the offspring created by bacteria with this gene will be resistant to the medication

The offspring created by bacteria with this gene will be resistant to the medication. The reason is that the bacteria reproduce by binary fission. If anyone carries a gene which makes it resistant to antibacterial medication.

Then its offspring will be resistant because in binary fission, DNA replicates and seperate. DNA replicates which possess the gene which makes it resistant to antibacterial medication then offspring will have that DNA which possesses such gene. Binary fission is a type of asexual reproduction.