The graph in Figure below models the spread of the Ebola Virus during an outbrea
ID: 2853933 • Letter: T
Question
The graph in Figure below models the spread of the Ebola Virus during an outbreak in Zaire.
Discuss the disease’s rate of increase changes over time. At what time is the rate of increase the
highest? Explain.
Explanation / Answer
The given graph gives the number of deaths as a function of time.
The derivative would be the rate of change of the number of deaths.
Now, basically, looking at the beginning part, the number of deaths increases over the same time intervals. So, upto a point, approximately t = 5, the rate of increase keeps increasing.
And then, at t = 5, the graph gradually starts tapering again, which means that after t = 5, the rate of change of the number of deaths slowly decreases.
In a real life scenario, this can be thought this way : There were a few ebola related deaths in the beginning. But then the number of deaths started increasing and people realized thatt it could very well be ab outbreak. The rate of increase reached maximum at t = 5 approx. At this sttage, some kinda drastic containment was done and vaccination provided because of which the rate of increase od deaths sarted decreasing again...
Now, when did the rate of increase become highest?
This happened at t = 5 because it is at t = 5 when the concavity of the graph changes fron concave down to concave up....
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