The exponential function is y=2000(4/5)ˣ. 0.8 is the decay factor and 0.2 is the decay rate.
Given that,
The exponential function is y=2000(4/5)ˣ.
Parts of exponential function.
The general equation for an exponential growth function is :
y=a(b)ˣ
a is the initial value.
1. If b>1, growth. Then b is growth factor. r is the growth rate is b=1+r.
2. If 0<b<1, decay. Then b is decay factor. r is the decay rate is b=1-r.
Now, from the given y=2000(4/5)ˣ.
2000 is the initial value.
4/5=0.8 which is 0<0.8<1
So, 0.8 is the decay factor.
Decay rate r is
b=1-r
r=1-b
r=1-0.8
r=0.2
Therefore, 0.8 is the decay factor and 0.2 is the decay rate.
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