Question

What is the rate of growth or decayA 0.89B 13,500C 0.11D 1.89

Answer 1

Rate of decay is 0.11

EXPLANATION :

The general function for growth or decay is :

`f\lparen x)=P\left(1+r\right)^x`

where r is the growth or decay.

r is positive if growth

r is negative if decay

From the problem, we have the function :

`f\mleft(x\mright)=13500\left(0.89\right)^x`

Equate the parenthesis to (1 + r)

That will be :

`\begin{gathered} 0.89=1+r \\ 0.89-1=r \\ r=-0.11 \end{gathered}`

Since the sign of r is negative, it is a decay function

The rate of decay is 0.11