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Sagot :
Given the statement:
A population of wolves is presently at 500 and is decreasing by 10% each year.
Let's determine the type of model that best fits the given situation.
Here, given that the population of wolves decreases by 10% each year, the model that can be used to describe this situation is an exponential decay function.
A quantity can be siad to be subjected to an exponential decay if it decreases at a constant rate proportional to its current value.
To find the function apply the exponential decay function formula:
[tex]f(x)=a(1-r)^x[/tex]Where:
a is the current value = 500
r is the decay rate = 10% = 0.10
x is the number of years.
Hence, the exponential decay function that represents this situation is:
[tex]\begin{gathered} f(x)=500(1-0.1)^x \\ \end{gathered}[/tex]Therefore, the model that best fits the given situation is an exponential model.
ANSWER:
C. Exponential
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