Question

The value of a $3000 computer decreases about 30% each year. write a function for the computers value V(t). Does the function represent growth or decay?
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Answer 1

Answer:

Function represents decay.

$V(t)=3000(0.70)^t$

Step-by-step explanation:

Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then determine if the function represent growth or decay.

It clearly says that value decreases so that means function represents decay.

For decay we use formula:

$A=P(1-r)^t$

where P=initial value = $3000,

r= rate of decrease =30% = 0.30

t= number of years

A=V(t) = future value

so the required function is $V(t)=3000(1-0.30)^t$

or $V(t)=3000(0.70)^t$