Question

exponential models
guided practice
example
a computer valued at $6500 in 2007 depreciates at the rate of 14.3% per year.
this situation can be modeled using an exponential decay function.
type your answer and then click or tap done.
use the ^ symbol (shift+6 on the keyboard) to signify an exponent. for example, for 2 to the third power, enter 2^3.
what is the decay factor for this example?

Explanation:

Step1: Recall the decay factor formula

For exponential decay, the decay factor \( b \) is given by \( b = 1 - r \), where \( r \) is the rate of decay (expressed as a decimal).

Step2: Convert the rate to decimal

The rate of decay \( r = 14.3\% = 0.143 \).

Step3: Calculate the decay factor

Using the formula \( b = 1 - r \), we substitute \( r = 0.143 \):
\( b = 1 - 0.143 = 0.857 \).

Answer:

$0.857$