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A certain forest covers an area of 2400 km2. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.



Answer :

mhanifa

Answer:

  • 1179  km²

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Initial area is 2400 km².

Decrease rate is 8.5% per year.

The area after 8 years will be:

  • 2400*(1 - 8.5/100)⁸ =
  • 2400*0.915⁸ =
  • 1179 km² (rounded)

The area of the forest after 8 years will be 1,179 km².

What will be the area of the forest?

The forest decreases exponentially each year. Each year, the forest would decline by 8.5% each year.

The exponential equation that would be used to determine the area of the forest in 8 years is:

Area of the forest = initial area x (1 - percent decrease/100)^number of years

Area of the forest = 2,400 x (1 - 8.5%/100)^8

Area of the forest = 2,400 x (91.5/100)^8

Area of the forest = 2,400 x 0.915^8

Area of the forest = 1,179 km²

To learn more about exponential functions, please check: https://brainly.com/question/3639390

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