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

Answer-

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,

$y=4800(1-0.0675)^{11}$

$\ =4800(0.9325)^{11}$

$\ =4800\times 0.4636$

$\ =2225.28$

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