Growth and decay

Question

h(p)=(0.5)^p

Growth or Decay: ________ 

b) Growth or Decay Factor: _______ 

d) Growth or Decay Rate: ______ 

c) Initial Value: ________ 

 

Answer 1

General form for an exponential:

f(x) = a·b^x

where a is the initial or starting value, b is the growth/decay factor. It is growth if b >1, decay if b <1. What are the values of a and b in your equation?

b can be expressed as b = (1 + rate), where rate is the growth or decay rate. It's growth if rate > 0, decay if rate < 0. Plug in the value of b and solve for the rate.