5
QuizMultiple Choice

Performing Operations in Public Health Contexts — Quiz

Question 5 • College Readiness Mathematics

The chronic daily intake of nitrates for 12 -year-old children who have an average body weight of 45 kg and drink 1 L of water per day can be found using the equation C⁢D⁢I=((I⁢R)⁢C)/(A⁢B⁢W) , where I⁢R is the intake rate in liters of water per day, C is the concentration of nitrate in milligrams per liters, and A⁢B⁢W is the average body weight. The rate is recalculated 18 months later for the same group of children, who are now drinking (1)/(4) L more per day and have a new average body weight of (1)/(2) kg more. In each test, there were 22.5 mg of nitrate in 2.5 L of water. Which expression represents the recalculation?

Answer
A
C⁢D⁢I=22.52.5⁢(1 + 12)45
B
C⁢D⁢I=(1 + 14)⁢22.52.545 + 12
C
cap c cap d cap i is equal to the fraction with numerator 22 point 5 over 2 point 5 and denominator 45
D
C⁢D⁢I=22.52.5 + 1245+ 14

Explanation

Use the updated values in CDI = (IR × C) / ABW. The new intake rate is 1 + 1/4 L per day, the nitrate concentration is 22.5 ÷ 2.5 mg/L, and the new average body weight is 45 + 1/2 kg. Choice B places these values in the correct parts of the equation.

AI-written and checked against the verified answer.

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