Respuesta :
Using the exponential model F₀ = x, the annual rate of deforestation in El Salvador is 2.65%. .It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining.
Define exponents.
A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. Mn indicates that m has been multiplied by itself n times if m is a positive number and n is its exponent.
Given,
It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining.
Let the area present in forest be x,
F₀ = x,
Forest's final area:
F = 53/100 x
F = 0.53x
Time = 20 years
As we know,
Exponential model,
F = F₀ e^rt
0.53 = e^r(20)
Equating en both sides,
en 0.53 = en e ^20r
en 0.53 = 20r
r = en 0.53/20
r = 0.0265
r - 2.65%
Using the exponential model F₀ = x, the annual rate of deforestation in El Salvador is 2.65%. .It is estimated that at the present rate of deforestation in El Salvador, in 20 years only 53%of the present forest will be remaining.
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