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The number of students who smoke cigarettes at Broxton College is decreasing at a rate of one smoker every 6.21 days. At whatrate in smokers per year is the number of smokers declining? Assume 365 days in a year and round to the nearest tenth of asmoker per year.Select one:O a. 52.6 smokers/yearO b. 65.0 smokers/yearOC. 58.8 smokers/yearO d. 69.7 smokers/year

Answer :

We have the decreasing rate expressed as a conversion:

[tex]\begin{gathered} 1\text{ smoker }\leftrightarrow6.21\text{ days} \\ \\ \Rightarrow\frac{1}{6.21}\text{ smokers }\leftrightarrow1\text{ day} \end{gathered}[/tex]

In one year, we have 365 days, so we multiply each side by 365:

[tex]\begin{gathered} 365\cdot\frac{1}{6.21}\text{ smokers}\leftrightarrow365\cdot1\text{ day} \\ \\ 58.8\text{ smokers}\leftrightarrow1\text{ year} \end{gathered}[/tex]

Answer: 58.8 smokers/year

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