Math Problem Statement

The Dangers of Smoking Cigarette smoke con- tains any number of unhealthy substances, cyanide among them. One study modeled cyanide in the bloodstream after smoking a cigarette using

C= 0.1 plus 0.3t exponent 0.6 e exponent -0.17t,

where C is the concentration of cyanide in the bloodstream, measured in nanograms per deciliter, and t is the time, in minutes, since smoking a cigarette.

a. Make a graph of the concentration of cyanide during the first hour after smoking a cigarette. Add the line corresponding to the target level of 0.3 nanogram per deciliter.

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Decay
Mathematical Modeling
Graphing

Formulas

C = 0.1 + 0.3t^0.6 * e^(-0.17t)

Theorems

Exponential Decay Function

Suitable Grade Level

Grades 10-12