The formulas are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimeters.Based on Current's formula, what is w in terms of A ?
Correct answer: A. w = 30A − 4
- A. w = 30A − 4
- B. w = 30A + 4
- C. w = 30(A − 4)
- D. w = 30(A + 4)
Explanation
To solve for w in terms of A, start with the given formula A = 4 + w / 30. Multiply both sides by 30 to eliminate the fraction, resulting in 30A = 4 + w. Then, subtract 4 from both sides to isolate w, yielding w = 30A − 4. Option A is correct because it follows these steps correctly. Options B, C, and D each involve incorrect operations or rearrangements that do not accurately reflect the process of isolating w.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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