Question

write an exponential formula of the form f (t)= a×b^t to represent the following situation. assume t is in years. The beginning population is 27, 000, decreasing by 3.5% annually. f(t)=__________​

Answer 1

Answer:

$f(t)= 27000 * 0.965^t$

Step-by-step explanation:

Given

$a = 27000$ -- initial

$r = 3.5\%$

Required

The exponential equation

The exponential equation is

$y =ab^t$

Where

$b=1 -r$

We used minus, because the rate decreases..

So, we have:

$b=1 -3.5\%$

$b=1 -0.035$

$b=0.965$

So:

$y =ab^t$

$y = 27000 * 0.965^t$

Hence:

$f(t)= 27000 * 0.965^t$