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Final answer:The linked genes are pk and bk based on the progeny data, as these phenotypes appear most frequently, indicating that they are inherited together. Calculating the distance involves summing the recombinant progeny's numbers, dividing by the total number of offspring, and multiplying by 100 to get the genetic distance in map units, which is 9.7 m.u.Explanation:The student wants to determine which of the three genes (pk, bk, and tp) in Drosophila are linked and to calculate the genetic distance between them. In Drosophila genetics, linked genes do not assort independently but are inherited together because they are located on the same chromosome. The offspring phenotypes that occur in the highest numbers are usually indicative of the parent's genotype whereas the least common phenotypes suggest recombination between the linked genes.After examining the provided progeny data, we observe that the phenotypes 'pink, black' and 'transparent' appear most frequently, suggesting that the alleles for these traits (pk and bk) are linked. These alleles are inherited together from the heterozygous female parent. Conversely, the 'black, transparent' and 'pink' phenotypes occur in significantly lower numbers, which indicates recombination events.To calculate the distance between the linked genes pk and bk, we add the number of recombinant progeny (pink and black, transparent phenotypes) and divide it by the total number of offspring, then multiply by 100 to convert to map units (m.u). The formula looks like this:Therefore, the genetic distance between the pk and bk genes is 9.7 map units....