Rates of Change
I have a math problem that Iím working on that I could use some help with. The question is one to do with decreasing concentrations of a drug in blood over time. Iíve made up some data below to model it out so that I can understand how itís done Ė
Time (hrs), Concentration (units)
The question is - At what time will the rate of decrease in concentration be less than 10 units/hour?
What Iíve done so far is created a graph where Iím charting the log of the time (in mins) against the log of the concentration so that I could determine the gradient. From that I derived an equation to try and use the second derivative to get the rate of change equation but Iím stuck at that point and not sure whether I was even on the right track to begin with.
Iíd really appreciate some help.