Find the initial value a, growth/decay factor b, and growth/decay rate r for the following exponential function Q(t)=1950(1.743)^t

Question

The initial value is a=

The growth factor is b=

The growth rate is r=

Answer 1

Find the initial value a, growth/decay factor b, and growth/decay rate r for the following exponential function Q(t)=1950(1.743)^t

To better answer this question, I will provide the vertex form of a exponential equation of both growth and decay function when transforming their graphs across the 2D coordinate plane.

Growth → f(x) = a(1+r)^(x-h)+k, where b = 1+r

Decay → f(x) = a(1-r)^(x-h)+k, where b = 1- r

So in your problem,

The initial value is a= 1950

The growth factor is b= 1.743

The growth rate is r= 1.743=1+r → r = .743 or 74.3% growth