In certain parts of the world, the number of deaths N per week has been observed to be linearly related to the average concentration x of sulfur dioxide in the air. Suppose there are 97 deaths when x = and 100 deaths when x = 500 mg/m3. 100mg/m3 a. What is the functional relationship between N and x? b. Use the function in part (a) to find the number of death per week when x = the last three digits of your student ID mg/m³. What concentration of sulfur dioxide corresponds to 100 deaths per week?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 54E
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x = 061mg/m3

In certain parts of the world, the number of deaths N per week has been
observed to be linearly related to the average concentration x of sulfur
dioxide in the air. Suppose there are 97 deaths when x =
and 100 deaths when x =
100mg/m3
500 mg/m3.
a. What is the functional relationship between N and x?
b. Use the function in part (a) to find the number of death per week
when
the last three digits of your student ID mg/m³. What
X =
concentration of sulfur dioxide corresponds to 100 deaths per
week?
Transcribed Image Text:In certain parts of the world, the number of deaths N per week has been observed to be linearly related to the average concentration x of sulfur dioxide in the air. Suppose there are 97 deaths when x = and 100 deaths when x = 100mg/m3 500 mg/m3. a. What is the functional relationship between N and x? b. Use the function in part (a) to find the number of death per week when the last three digits of your student ID mg/m³. What X = concentration of sulfur dioxide corresponds to 100 deaths per week?
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