Question

What does the constant 0.975 reveal about the rate of change of the quantity?

Answer 1

The function is given by:

$f(t)=4000(0.975)^t$

Since the term into the parenthesis is greater than 0 but less than 1, we can state that this function is decaying exponentially at a rate of 100*0.975 = 97.5% every day.