The number of tourists in a small town at time t (in years) is modeled by . What is the decay factor?
A) 95
B) 0.05
C) 5
D) 0.95
E) 250

Question

The number of tourists in a small town at time t (in years) is modeled by  . What is the decay factor?
A) 95 
B) 0.05 
C) 5 
D) 0.95 
E) 250

Quizplus · Accepted Answer

The given model is in the form of N(t) = N0e^(-kt), where N0 is the initial number of tourists and k is the decay constant. 
Comparing with the given expression, we can see that k = 0.05, which means the decay factor is e^(-k) = e^(-0.05) = 0.95. Therefore, the answer is D.

The Number of Tourists in a Small Town at Time