Write a function in terms of t that represents the situation. a population of 100,000 decreases by 2% each year.

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 .

answer:

c. the third graph