By definition, an exponential equation is of the form:
[tex]y = A * (b) ^ x
[/tex]
Where,
A: initial amount
b: rate of change
x: independent variable
y: dependent variable
For this case we have two options:
0 <b <1: the function decreases
b> 1: the function grows.
Therefore, an exponential function that decreases is:
[tex]y = A * (b) ^ x
[/tex]
Where,
0 <b <1
Answer:
[tex]y = A * (b) ^ x
[/tex]
0 <b <1