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

What does the constant 0.35 reveal about the rate of change of the quantity?-example-1
What does the constant 0.35 reveal about the rate of change of the quantity?-example-1
What does the constant 0.35 reveal about the rate of change of the quantity?-example-2
User Silvano
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1 Answer

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ANSWER:

Step-by-step 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

User Mossawi
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