Consider the following scenario:
Suppose a population of fruit flies is introduced to a disease and decreases at a rate of at a rate of 15% in flies per day. Suppose the initial population of fruit flies is 950 flies.
Collaborate with your peers to answer the following:
Draw a graph or figure to represent this situation.
Describe how the concepts from this module can be applied in this case.
How many flies are left in the population after 5 days?
Provide another example of a scenario that involves the same concept.
Additional Note(attached):
This discussion sees us dealing with exponential growth and decay models.
If we define ? to be a differentiable function of ? such that ?>0 and ??/??=?? for some constant ?, then ?=?0?^??. We say that ?0 is the initial value of ?, and ? is the constant of proportionality. We have exponential growth when ?>0 and exponential decay when ?<0.
That is to find an equation for y, we need only know the initial population and the growth or decay rate of that population.
Consider the following scenario: Suppose a population of fruit flies is introduc
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