Question

I need help can someone teach me how to do this

Answer 1

Decay with 37% decrease.

Explanation:

If an exponential function is,

y =
`a(b)^(x)`

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.