Neco Model Questions Vol1 2019 Biology Question 19

Glucose homeostasis can be described by the equation \(\text{Rate}_{\text{entry}} = k \times [G]\), where \([G]\) is the plasma glucose concentration (mmol L⁻¹) and \(k\) is the removal constant (min⁻¹). In the fasting state, basal glucose production supplies 2 mmol min⁻¹ and the removal constant is \(k = 0.8\ \text{min}^{-1}\). (a) Calculate the fasting steady‑state glucose concentration. (b) After a meal, an additional 12 mmol min⁻¹ of glucose enters the bloodstream. Assuming the removal constant remains unchanged, what is the new steady‑state concentration? (c) If insulin resistance reduces the removal constant to \(k = 0.5\ \text{min}^{-1}\) while the post‑meal entry rate stays at 12 mmol min⁻¹, what is the resulting steady‑state concentration?