<prompt> Please answer with one of the option in the bracket. Write reasoning in between . Write answer in between .Q:A 20-year-old female with type I diabetes mellitus presents to the emergency department with altered mental status. Her friend said that she has been out late either studying for upcoming tests or attending prayer group meetings. As far as the friend can recollect, the patient appeared to be in her usual state of health until only two days ago, when she was prescribed trimethoprim-sulfamethoxazole for a urinary tract infection. The patient complained that the medication was making her feel nauseous and bloated. The patient also relies on glargine and lispro for glycemic control. Her temperature is 100.5F 38.1C, blood pressure is 9555 mmHg, pulse is 130min, and respirations are 30min. Her pupils are equal and reactive to light bilaterally. The remainder of the physical exam is unremarkable. Her basic metabolic panel is displayed below:Serum:Na: 116 mEqLCl-: 90 mEqLK: 5.0 mEqLHCO3-: 2 mEqLBUN: 50 mgdLGlucose: 1,200 mgdLCreatinine: 1.5 mgdLWhich of the following is true regarding this patients presentation?? A: Hyponatremia is independently associated with a poor prognosis, B: Hyperkalemia is independent of the patients total body potassium stores, C: Hyperglycemia to this magnitude supports hyperglycemic hyperosmolar nonketotic syndrome, D: Azotemia independently contributes to the patients encephalopathy, E: Hypochloremia to this magnitude supports a pure anion-gap metabolic acidosis,  <response>: This is a medical case scenario involving a 20-year-old female with type 1 diabetes mellitus presenting with altered mental status. Based on the information provided, she likely has diabetic ketoacidosis DKA given her hyperglycemia, metabolic acidosis, and ketosis. The question is asking which statement about her lab abnormalities is true.Choice A is incorrect because hyponatremia is likely dilutional from water shifts due to hyperglycemia and not independently associated with poor prognosis in DKA. Choice B is correct. The hyperkalemia is likely due to acidosis-induced potassium shifts out of cells and does not reflect total body potassium stores. Choice C is incorrect because the very high glucose supports DKA more than HHS given the acidosis. Choice D is incorrect because azotemia is likely prerenal from volume depletion and not independently contributing to encephalopathy. Choice E is incorrect because the chloride is low due to compensation for the high anion gap metabolic acidosis, not a pure anion gap acidosis.B: Hyperkalemia is independent of the patients total body potassium stores 