Neco Model Questions Vol1 2024 Biology Question 46

A plant leaf hormone system regulates blood glucose as follows: insulin increases glucose uptake at a rate of \(0.8\) mg dL\(^{-1}\) per minute per unit of insulin concentration, while glucagon decreases uptake at a rate of \(0.5\) mg dL\(^{-1}\) per minute per unit of glucagon concentration. At time \(t=0\) min the blood glucose level is \(90\) mg dL\(^{-1}\), insulin concentration is \(5\) units and glucagon concentration is \(3\) units. Over the next 10 minutes the insulin concentration rises linearly to \(8\) units and glucagon falls linearly to \(2\) units. Assuming the rates vary linearly with the hormone concentrations, what is the blood glucose level after 10 minutes? Give your answer to one decimal place.