Question

Ascertain forest covers an area of 2900km2 Suppose that each year this area decreases by 8.5%. What will the area be after 11 years?

Answer 1

Area covered by forest in 11 years = 1092 km²

Step-by-step explanation

When a quantity decreases at a constant rate, the value in some time is given as

A(t) = A₀ (1 - r)ᵗ

A(t) = Area of the forest in year t

A₀ = Original Area covered by forest = 2900 km²

r = Rate of decline = 8.5% = 0.085

t = Time = 11

A(t) = A₀ (1 - r)ᵗ

A = 2900 (1 - 0.085)¹¹

A = 2900 (0.915)¹¹

A = 2900 (0.3764)

A = 1092 km²

Hope this Helps!!!