A hospitalised patient with diabetes has a blood glucose level reaching the stage of hyperglycaemia (high...

Transcribed Image Text:

A hospitalised patient with diabetes has a blood glucose level reaching the stage of hyperglycaemia (high blood glucose) about an hour after eating breakfast. Blood-glucose-lowering medication was immediately administered to reduce the glucose level to a safe range (70-140 mg/dL). The patient was also at risk of becoming hypoglycaemic (low blood glucose of < 70mg/dL) due to a pre- existing infection. The amount of glucose in the patient's blood can be modelled by the function, G(t) = 225e-0.35⁹ + 15, where G(t) is the glucose level in milligram per decilitre (mg/dL) and t is time in hours after taking the diabetic medication. (a) What was the blood glucose level of the patient at the time their medication was taken? (b) How long did it take for the patient's blood glucose level to reach the safe range? (c) How long does the model predict that the patient's blood glucose level would stay in the safe range for before it reaches hypoglycaemia? (d) The patient had lunch 4 hours after the medication was given. Calculate the patient's blood glucose level just before having lunch and comment on whether the timing of lunch was suitable in regards to the patient's state. A hospitalised patient with diabetes has a blood glucose level reaching the stage of hyperglycaemia (high blood glucose) about an hour after eating breakfast. Blood-glucose-lowering medication was immediately administered to reduce the glucose level to a safe range (70-140 mg/dL). The patient was also at risk of becoming hypoglycaemic (low blood glucose of < 70mg/dL) due to a pre- existing infection. The amount of glucose in the patient's blood can be modelled by the function, G(t) = 225e-0.35⁹ + 15, where G(t) is the glucose level in milligram per decilitre (mg/dL) and t is time in hours after taking the diabetic medication. (a) What was the blood glucose level of the patient at the time their medication was taken? (b) How long did it take for the patient's blood glucose level to reach the safe range? (c) How long does the model predict that the patient's blood glucose level would stay in the safe range for before it reaches hypoglycaemia? (d) The patient had lunch 4 hours after the medication was given. Calculate the patient's blood glucose level just before having lunch and comment on whether the timing of lunch was suitable in regards to the patient's state.

Answer rating: 100% (QA)

To answer the questions well use the given glucose level function Gt 225e0359t 15 a To find the bloo... View the full answer