Question

What does the constant 0.35 reveal about the rate of change of the quantity?

Answer 1

ANSWER:

EXPLANATION:

Given:

$f(t)=640(0.35)^{60t}$

Recall that an exponential decay function is generally given as;

$f(t)=a(1-r)^t$

where;

a = initial amount = 640

r = rate of decrease

t = time

We can go ahead and find r as seen below;

$\begin{gathered} 1-r=0.35 \\ -r=0.35-1 \\ r=-0.35+1 \\ r=0.65 \\ r=0.65*100 \\ r=65\text{\%} \end{gathered}$

So we have that the function is decaying exponentially at a rate of 65% every hour