Answer:
Decay with 37% decrease.
Step-by-step explanation:
If an exponential function is,
y = [tex]a(b)^{x}[/tex]
Where 'b' = growth factor
And 'a' = Initial amount
How to check the exponential function represents a growth or decay;
1). If the growth is positive,
Value of 'b' will be greater than 1 and the function will represent growth.
So the function will be in the form of,
y = a(1 + r)ⁿ
Where r = growth rate in percent
2). If the growth is negative,
Value of 'b' will be in decimals and the function will represent the decay.
And function will be in the form of,
y = a(1 - r)ⁿ
From the given function,
y = 47(0.63)ˣ
y = 47(1 - 0.37)ˣ
Therefore, growth rate of the function will be,
r = 0.37 ≈ 37%
Therefore, function decay, with 37% decrease.
