The completed table:
Exponential Decay Exponential Growth
A = (0.97)^t y = 3.7(0.2)^t
V = 0.8(9)^t P = 0.9(8.3)^t
Exponential decay is when the quantity decreases over time. This is represented by a base less than 1, such as 0.97 or 0.2.
Exponential growth is when the quantity increases over time. This is represented by a base greater than 1, such as 8.3 or 9.
The other equations do not represent exponential decay or growth:
y = (4)^t is a linear function, not an exponential function.
P = (*) is incomplete.
g(x) = 2.1(x) is a linear function, not an exponential function.