Question

Find the initial value P, growth/decay factor a, and growth/decay rate r for the following exponential function:Q(t) = 500(1.3)^tHelp me solve C - Growth rate (a) The initial value is P= 500(b) The growth factor is a =1.3(c) The growth rate is p=(Note that if r gives a decay rate you should have r < 0.)

Answer 1

Given the equation:

`Q\mleft(t\mright)=500\mleft(1.3\mright)^t`

The given function represents an exponential growth function

(a) The initial value is P, which will be the value when t = 0

So, P = 500

(b) The growth factor is a = 1.3 - 1 = 0.3

(c) The growth rate is p = 1.3