Find the initial value al growthdecay factor bl and growthde

Find the initial value al, growth/decay factor bl, and growth/decay rate r|for the following exponential function: q(t)= 0.002(2.18)^4t (a) The initial value is a = (b) The growth factor is (c) The growth rate is r =

Solution

given Q(t)=0.0021(2.18)^-4t

Q(t)=0.0021((2.18)^-4)^t

Q(t)=0.0021(0.044276)^t

a) initial value occurs when t =0

a=0.0021(0.044276)⁰

a=0.0021

b) growth factor b =0.044276

c) growth rate r =0.044276-1

growth rate r =-0.955724

negative indicates decay rate

r =-95.57%