3. Half-lives. Glyphosate is the active ingredient in some herbicides (weed killers) such as RoundupⓇ, Rodeo®, and Accord®, and is typically sprayed onto agricultural fields and forests. When glyphosate lands on plants, it is quickly absorbed through the leaves; in high enough concentration, glyphosate will kill a plant in 24 hours. Glyphosate that lands on soil eventually breaks down, although it can kill microorganisms that are beneficial to the soil. The average half-life of glyphosate in soil is 40 days-sometimes more or less depending on soil conditions. Recommended application rates of glyphosate vary from 0.3 to 4.0 pounds per acre." [9 pts total] a. With a half-life of 40 days, determine the daily decay rate of glyphosate in soils. Report 2 significant figures and include units. b. Suppose that 4 pounds of glyphosate are applied to a 1-acre agricultural field, with 1 pound landing on the soil. Compute the number of days until the glyphosate in the soil breaks down to 0.25 pounds. Report 1 significant figure. 4 4

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.EA: Extended Application Pollution Of The Great Lakes
Problem 2EA
Question
3. Half-lives. Glyphosate is the active ingredient in some herbicides (weed killers) such as RoundupⓇ, Rodeo®,
and Accord®, and is typically sprayed onto agricultural fields and forests. When glyphosate lands on plants, it
is quickly absorbed through the leaves; in high enough concentration, glyphosate will kill a plant in 24 hours.
Glyphosate that lands on soil eventually breaks down, although it can kill microorganisms that are beneficial
to the soil. The average half-life of glyphosate in soil is 40 days-sometimes more or less depending on soil
conditions. Recommended application rates of glyphosate vary from 0.3 to 4.0 pounds per acre." [9 pts total]
a. With a half-life of 40 days, determine the daily decay rate of glyphosate in soils. Report 2 significant figures
and include units.
b. Suppose that 4 pounds of glyphosate are applied to a 1-acre agricultural field, with 1 pound landing on the
soil. Compute the number of days until the glyphosate in the soil breaks down to 0.25 pounds. Report 1
significant figure.
4
4
Transcribed Image Text:3. Half-lives. Glyphosate is the active ingredient in some herbicides (weed killers) such as RoundupⓇ, Rodeo®, and Accord®, and is typically sprayed onto agricultural fields and forests. When glyphosate lands on plants, it is quickly absorbed through the leaves; in high enough concentration, glyphosate will kill a plant in 24 hours. Glyphosate that lands on soil eventually breaks down, although it can kill microorganisms that are beneficial to the soil. The average half-life of glyphosate in soil is 40 days-sometimes more or less depending on soil conditions. Recommended application rates of glyphosate vary from 0.3 to 4.0 pounds per acre." [9 pts total] a. With a half-life of 40 days, determine the daily decay rate of glyphosate in soils. Report 2 significant figures and include units. b. Suppose that 4 pounds of glyphosate are applied to a 1-acre agricultural field, with 1 pound landing on the soil. Compute the number of days until the glyphosate in the soil breaks down to 0.25 pounds. Report 1 significant figure. 4 4
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