Answer:
Exponential growth A, B;
exponential decay C, E;
neither D.
Step-by-step explanation:
The function [tex]y=a\cdot b^x[/tex]
A. The equation [tex]f(t)=\dfrac{2}{3}\cdot \left(\dfrac{7}{3}\right)^t[/tex] represents exponential growth, because [tex]\dfrac{7}{3}>1.[/tex]
B. The equation [tex]P=22\cdot \left(1.76\right)^x[/tex] represents exponential growth, because [tex]1.76>1.[/tex]
C. The equation [tex]V=\dfrac{1}{3}\cdot \left(0.45\right)^x[/tex] represents exponential decay, because [tex]0<0.45<1.[/tex]
D. The equation [tex]W=3.2\cdot (x)[/tex] represents neither exponential growth nor exponential decay, because this function is linear.
E. The equation [tex]g(x)=4.2\cdot \left(\dfrac{1}{3}\right)^x[/tex] represents exponential decay, because [tex]0<\dfrac{1}{3}<1.[/tex]
