Final answer:
Galactokinase is the enzyme that phosphorylates galactose to make galactose-1-phosphate. Other enzymes mentioned in the question have different functions in the metabolism of carbohydrates.
Step-by-step explanation:
The enzyme that phosphorylates galactose to make galactose-1-phosphate (Gal-1P) is b) Galactokinase. This enzyme specifically catalyzes the transfer of a phosphate group from ATP to galactose, forming Gal-1P, an important step in the metabolism of galactose. The other enzymes listed have different roles in carbohydrate metabolism: a) UDP-galactose 4' epimerase is involved in the conversion between UDP-galactose and UDP-glucose, c) Galactose-1-phosphate uridyl transferase is involved in the transfer of a uridyl group to Gal-1P to form UDP-galactose, and d) UDP-glucose pyrophosphorylase is involved in the synthesis of UDP-glucose, a precursor of many polysaccharides. None of these other enzymes catalyze the phosphorylation of galactose directly.