Question

In the 1990s, Brazil had a deforestation rate of about 0.48% per year.1 (This is the rate at which land covered by forests is shrinking.) Assuming the rate continues, what percent of the land in Brazil covered by forests in 1990 will be forested in 2025? Give your answer correct to 3 decimal places. About Number % of the land will be covered in forests 35 years later if the rate continues.

Answer 1

Answer:

the answer is 1.453

Step-by-step explanation:

i am not sure about the answer but here are my steps. first he says in the 1990s  there was a deforestation rate of about 0.48%per year. and 1 is the rate of land that is shrinking. this means that if Brazil had a forest of area x then

x(0.48%)=1 therefore x=2.083

lets use that in this equation

the area left (the final answer) 2.083(0.48)^35= 1.453

(i asked about the unit its measured with because if it is measured by thousands of squared meters or kilometers just big unit measured to be exact my answer would be correct)

Answer 2

Using exponential functions, it is found that:

84.5% of the land will be covered in forests 35 years later if the rate continues.

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An exponential function is given by:

$y(t) = y(0)(1 - r)^{t}$

In which

• y(0) is the initial value.
• r is the decay rate.

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• Deforestation rate of 0.48% per year means that $r = 1 - 0.0048 = 0.9952$.
• Thus, the proportion after t years is given by:

$y(t) = y(0)(0.9952)^t$

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• 2025 is 2025 - 1990 = 35 years after 1990, thus, we have to find y(35).

$y(t) = y(0)(0.9952)^t$

$y(t) = y(0)(0.9952)^{35}$

$y(t) = 0.8450$

$0.845 \times 100\% = 84.5\%$

84.5% of the land will be covered in forests 35 years later if the rate continues.

A similar problem is given at https://brainly.com/question/23416643