Carrying capacity is defined as the total number of an organism who can be supported in a given area within the natural resources limit and without harming or degrading the natural, economic or the cultural environment present for the future generations.
Carrying capacity is determined by the limiting factors, which are known to affect the natural resources available. It may include water, nutrients, minerals, space, light etc.
Binary fission is the process of a bacterial cell going from singular to double. Therefore the correct answer would be: "During binary fission, a bacteria cell grows in size because DNA and other organelles are duplicated."