A glucose solution is administered intravenously into the bloodstream at a constant rate r. As the glucose is added, it is converted into other substances and removed from the bloodstream at a rate that is proportional to the concentration at that time. Thus a model for the concentration C = C(t) of the glucose solution in the bloodstream is dC/dt = r - kC where k is a positive constant. Assuming that C0 < r/k, find lim t→[infinity] C(t) and interpret your answer

  we can conclude that the  function is an increasing function.

Step-by-step explanation:

Given that:

By taking integration on both sides ;

where;

A is an integration constant

In order to determine A, we have C(0) = C0

Thus:

b ) Assuming that C0 < r/k, find lim t→[infinity] C(t) and interpret your answer

The equation for C(t) can therefore be re-written as :

Thus; we can conclude that the above function is an increasing function.

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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