Answer :
The general form of an exponential function is given by
[tex]$$
y = ab^x,
$$[/tex]
where:
- [tex]$a$[/tex] is the initial value,
- [tex]$b$[/tex] is the base (or growth/decay factor).
In the equation
[tex]$$
y = 20000(0.95)^x,
$$[/tex]
we can see that:
- [tex]$a = 20000$[/tex], and
- [tex]$b = 0.95$[/tex].
Since [tex]$0.95$[/tex] is less than 1, the function exhibits exponential decay rather than growth.
Therefore, the equation represents decay.
[tex]$$
y = ab^x,
$$[/tex]
where:
- [tex]$a$[/tex] is the initial value,
- [tex]$b$[/tex] is the base (or growth/decay factor).
In the equation
[tex]$$
y = 20000(0.95)^x,
$$[/tex]
we can see that:
- [tex]$a = 20000$[/tex], and
- [tex]$b = 0.95$[/tex].
Since [tex]$0.95$[/tex] is less than 1, the function exhibits exponential decay rather than growth.
Therefore, the equation represents decay.
