Rewrite the function y 41598t3 in Aoert formSolutiony41598t

Rewrite the function [y = 4(1.598)^t3] in Aoe^rt form

Solution

y=-4(1.598)^(t-3)

Here A0=-4

Lets find value of y when t=1

y1=-4(1.598)^-2=-1.5664

y2=-4(1.598)^-1=2.503

y= a0e^rt

at t=1

y1=-4 e^r=-1.5664

y2=-4e^2r=2.503

Dividing them we get

2.503/1.5664=e^r

taking ln on both sides

r= ln(2.503/1.5664)=.4687

Therefore the function is

y=-4e^(.4687t)