The technological and scientific developments of the past 50 years have resulted in a new type of taxonomy called DNA taxonomy. Unlike the classical taxonomy introduced by Carl Linnaeus, DNA taxonomy classifies organisms based on genome sequences in order to show --

how traits are inherited
how organisms reproduce
how mutations affect phenotypes
how closely related organisms are to one another

The correct answer is:

how closely related organisms are to one another.

DNA taxonomy utilizes the advancements in genetics and genomics to study the DNA sequences of organisms. By comparing these sequences, scientists can determine the evolutionary relationships between different species and assess their level of relatedness. This allows for a more accurate classification and understanding of the diversity of life on Earth.