Q:

Does each equation represent exponential decay or exponential growth? Drag and drop the choices into the boxes to correctly complete the table. Note: If an equation is neither exponential growth nor exponential decay, do not drag it to the table.Exponential Decay Exponential Growthoptions: H=5.9 (0.82)^ty=0.8 (3.6)^tf(t)=0.72 (15)^tA=4/9 (8)^tA= (4/3)^tH= 7/2 (5/6)^tg(x)= 0.3(x)

Accepted Solution

A:
A graph will be growing if its exponent is >1. If the exponent is <1 then it would decay. The graph will show a equation of f(x)= i *(r)^t

H=5.9 (0.82)^t           ---->0.82 = exponential decay
y=0.8 (3.6)^t           ---->3.6 = exponential growth
f(t)=0.72 (15)^t           ---->15 = exponential growth 
A=4/9 (8)^t           ---->8 = exponential growth 
A= (4/3)^t           ---->4/3 = exponential growth  
H= 7/2 (5/6)^t           ----> 5/6= exponential decay
g(x)= 0.3(x)           ----> no exponent?