Question

Select all of the equations that will produce exponential decay.

y = (3)^x
y = 1/2 (5)^x
y = 2 (1/4)^x
y = (2)^x
y = (0.1)^x
y = 3(4)^x

Answer 1

Exponential decay occurs when the base b in y = a·b^x satisfies 0 < b < 1. From the list, the decays are:

- y = 2(1/4)^x (base = 1/4)
- y = (0.1)^x (base = 0.1)