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At the time of a chemical spill, the concentration of the chemical in the lake is 10 ppm. After 2 hours, the concentration is 8 ppm. Assume the concentration decreases by a fixed amount each hour, so that the decay is linear, y = mx + b. 2.1.1.Complete the following variable definitions for the linear relationship described in the story including the names of the variables, units of measurement and frame of reference. Let x be Let y be 2.1.2.Find the slope of the line. Show your work. m= 2.1.3.Find the y-intercept of the line. b= 2.1.4.Interpret the meaning of the slope in context. m is 2.1.5.Interpret the meaning of the y-intercept in context. b is 2.1.6.Write the equation of the line. y= 2.1.7.What is the concentration 6 hours after the spill?

At the time of a chemical spill, the concentration of the chemical in the lake is 10 ppm. After 2 hours, the concentration is 8 ppm. Assume the concentration decreases by a fixed amount each hour, so that the decay is linear, y = mx + b. 2.1.1.Complete the following variable definitions for the linear relationship described in the story including the names of the variables, units of measurement and frame of reference. Let x be Let y be 2.1.2.Find the slope of the line. Show your work. m= 2.1.3.Find the y-intercept of the line. b= 2.1.4.Interpret the meaning of the slope in context. m is 2.1.5.Interpret the meaning of the y-intercept in context. b is 2.1.6.Write the equation of the line. y= 2.1.7.What is the concentration 6 hours after the spill?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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At the time of a chemical spill, the concentration of the chemical in the lake is 10 ppm. After 2 hours, the concentration is 8 ppm. Assume the concentration decreases by a fixed amount each hour, so that the decay is linear,

2. At the time of a chemical spill, the concentration of the chemical in the lake is 10 ppm. After 2 hours, the concentration is 8 ppm. Assume the concentration decreases by a fixed amount each hour, so that the decay is linear, y = mx + b. 2.1.1.Complete the following variable definitions for the linear relationship described in the story including the names of the variables, units of measurement and frame of reference. Let x be Let y be 2.1.2.Find the slope of the line. Show your work. m= 2.1.3.Find the y-intercept of the line. b= 2.1.4.Interpret the meaning of the slope in context. m is 2.1.5.Interpret the meaning of the y-intercept in context. b is 2.1.6.Write the equation of the line. y= 2.1.7.What is the concentration 6 hours after the spill?
Transcribed Image Text:2. At the time of a chemical spill, the concentration of the chemical in the lake is 10 ppm. After 2 hours, the concentration is 8 ppm. Assume the concentration decreases by a fixed amount each hour, so that the decay is linear, y = mx + b. 2.1.1.Complete the following variable definitions for the linear relationship described in the story including the names of the variables, units of measurement and frame of reference. Let x be Let y be 2.1.2.Find the slope of the line. Show your work. m= 2.1.3.Find the y-intercept of the line. b= 2.1.4.Interpret the meaning of the slope in context. m is 2.1.5.Interpret the meaning of the y-intercept in context. b is 2.1.6.Write the equation of the line. y= 2.1.7.What is the concentration 6 hours after the spill?
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