At the beginning of an environmental study, a forest covered an area of 1500km2. since then, this area has decreased by 7.1% each year. let t be the number of years since the start of the study. let y be the area that the forest covers in km2. write an exponential function showing the relationship between y and t.

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Mathematics

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12 July, 20:00

At the beginning of an environmental study, a forest covered an area of 1500km2. since then, this area has decreased by 7.1% each year. let t be the number of years since the start of the study. let y be the area that the forest covers in km2. write an exponential function showing the relationship between y and t.

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Zion Hebert · Answer 1

Y on t=o is 1500

decreasing with 7,1% every year means multiplying with 100% - 7,1% = 92,9%

y = (value on t=0) x 92,9^t

y = 1500 · 92,9^t

the exponential function you're looking for is: y = 1500 · 92,9^t