The answer is C.
Although Insulin induces the synthesis of hexokinase, hexokinas is used in glycolysis, not in glycogen synthesis.
The statement which is NOT associated with controlling the rate of glycogen synthesis in the liver is:
According to the given question, we can see that glycogen synthesis occurs in the liver and in this process, insulin activates phosphoprotein phosphate 1, and the glucagon inhibits the activity of glycogen synthase
As a result of this, we can see that the process which does not control the rate of glycogen synthesis is when the insulin activates glycogen synthase.
Therefore, the correct answer is option D
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