It is given in the question that
Kelly bought a new car for $20,000. The car depreciates at a rate of 10% per year.
And we have to find the decay factor.
In equation

b is the decay factor which is equal to

Where r is the rate .
And in the given question, r is 10 % , that is 0.1.
So decay factor is

So the decay factor is 0.9 .