Question

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

Answer 1

The area after 11 years will be 2225.28 km²

Solution-

This can be represented as exponential decreasing function,

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

Where,

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

Putting the values,

`y=4800(1-0.0675)^(11)`

`\ =4800(0.9325)^(11)`

`\ =4800* 0.4636`

`\ =2225.28`

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