Chapter 12.5, Problem 1CYU

Glucose Infusion Glucose is being given to a patient intravenously at the rate of 100 milligrams per minute. Let $y_n$ be the amount of glucose in the bloodstream after n minutes, measured in milligrams. Suppose that each minute, the body takes from the bloodstream 2% of the amount of glucose present at the beginning of that minute. Find a difference equation for $y_n$, and sketch its graph. (Hing: Each minute, the amount of glucose in the bloodstream is increased by the intravenous infusion and decreased by the absorption into the body.)