Question

Can you help me find the answer to my homework questions thankyouuuu

Answer 1

In this problem, we have an exponential decay function of the form

`y=a(1-r)^x`

where

y is the area in km2

x is the number of years

a=3,800 km2 (initial value)

r=6.25%=6.25/100=0.0625

substitute given values

`\begin{gathered} y=3,800(1-0.0625)^x \\ y=3,800(0.9375)^x \end{gathered}`

For x=12 years

substitute

`\begin{gathered} y=3,800(0.9375)^(12) \\ y=1,752\text{ km}^2 \end{gathered}`

therefore

The answer is 1,752 square kilometers