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In order to build better topsoil, tomato farmers are converting from using synthetic fertilizers to using cover crops. This practice both adds nutrients to the soil and provides a mulch to keep plants cool and help the soil retain water in sunny weather. In one region, 40, 000 pounds of fertilizer were being used in 2020. This amount has decreased 6% per year since then. a) Assuming that decrease is exponential (with natural base e), find the function f(t) that represents the amount of fertilizer used t year after 2020. Include "f(t)" in the answer. formula for function: 17,272 x syntax error: this is not an equation. b) In what year will the amount of pesticide used be half of the current amount? Round the answer DOWN to the nearest year. year: c) Based on this model, in what year will the amount of pesticide used be 20 % of the current amount? Round the answer DOWN to the nearest year.

In order to build better topsoil, tomato farmers are converting from using synthetic fertilizers to using cover crops. This practice both adds nutrients to the soil and provides a mulch to keep plants cool and help the soil retain water in sunny weather. In one region, 40, 000 pounds of fertilizer were being used in 2020. This amount has decreased 6% per year since then. a) Assuming that decrease is exponential (with natural base e), find the function f(t) that represents the amount of fertilizer used t year after 2020. Include "f(t)" in the answer. formula for function: 17,272 x syntax error: this is not an equation. b) In what year will the amount of pesticide used be half of the current amount? Round the answer DOWN to the nearest year. year: c) Based on this model, in what year will the amount of pesticide used be 20 % of the current amount? Round the answer DOWN to the nearest year.

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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In order to build better topsoil, tomato farmers are converting from using synthetic fertilizers to using cover crops. This practice both adds nutrients to the soil and provides a mulch to keep plants cool and help the soil retain water in sunny weather. In one region, 40, 000 pounds of fertilizer were being used in 2020. This amount has decreased 6 % per year since then. a) Assuming that decrease is exponential (with natural base e), find the function f(t) that represents the amount of fertilizer used t year after 2020. Include "f(t)" in the answer. formula for function: 17,272 x syntax error: this is not an equation. b) In what year will the amount of pesticide used be half of the current amount? Round the answer DOWN to the nearest year. year: c) Based on this model, in what year will the amount of pesticide used be 20% of the current amount? Round the answer DOWN to the nearest year. year: Submit Question years
Transcribed Image Text:In order to build better topsoil, tomato farmers are converting from using synthetic fertilizers to using cover crops. This practice both adds nutrients to the soil and provides a mulch to keep plants cool and help the soil retain water in sunny weather. In one region, 40, 000 pounds of fertilizer were being used in 2020. This amount has decreased 6 % per year since then. a) Assuming that decrease is exponential (with natural base e), find the function f(t) that represents the amount of fertilizer used t year after 2020. Include "f(t)" in the answer. formula for function: 17,272 x syntax error: this is not an equation. b) In what year will the amount of pesticide used be half of the current amount? Round the answer DOWN to the nearest year. year: c) Based on this model, in what year will the amount of pesticide used be 20% of the current amount? Round the answer DOWN to the nearest year. year: Submit Question years
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