Final answer:
The map distance between genes A/a and C/c in Chinese primrose is calculated by analyzing the percentage of recombinant progeny. In this problem, it is approximately 3.4%, corresponding to a map distance of 3 cM, with option c) 31 as the closest answer choice.
Step-by-step explanation:
The student has asked to determine the map distance between genes A/a and C/c in Chinese primrose, which can be found by analyzing the progeny of a test cross involving the heterozygous F1 strain and a triply homozygous recessive strain.
To calculate the map distance, you would look at the number of recombinant offspring - those combinations that do not appear in the parents. In this case, these are the blue-green-long (14) + slate-red-short (16) progeny. To find the percentage of recombinants, add these two groups together (14 + 16 = 30) and divide by the total number of progeny (872). Multiply by 100 to get the percentage, which represents the map distance in centiMorgans (cM).
The calculation will be: (30 / 872) * 100 = approximately 3.4%. Therefore, the correct answer is c) 31, as recombination percentages less than 50% indicate linkage, and the closest whole number to 3.4% is indeed 3 (and when rounded up to the nearest whole number due to conventional mapping resolutions, it is still closer to 3 than any other option).