The equation d=m/v can be used to calculate the density
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Given that opulation of 100,000 decreases by 2% each year.
Now question says to write a function in terms of t that represents the situation.
Question is talking about population decrease so we can apply decay formula. which is given by:
Where A is the population at any time t.
is the initial population so
r is the rate of decrease so r=2%=0.02
t is the number of years
Now plug those values, we get:
Hence required function is .