a certain forest covers an area of 4800km squared. if each year the area decreased by 6.75%what will be the area after 11 years

Respuesta :

Answer-

The area after 11 years will be 2225.28 km²

Solution-

This can be represented as exponential decreasing function,

[tex]y=a(1 - r)^t[/tex]

Where,

  • a = starting amount
  • r = rate
  • t = years

Putting the values,

[tex]y=4800(1-0.0675)^{11}[/tex]

[tex]\ =4800(0.9325)^{11}[/tex]

[tex]\ =4800\times 0.4636[/tex]

[tex]\ =2225.28[/tex]

Therefore, at this rate the area of the forest after 11 years will be 2225.28 km².