$$.\begin{aligned}.& \text { Mosteller's formula: } A=\frac{\sqrt{h w}}{60} \\.& \text { Current's formula: } A=\frac{4+w}{30}.\end{aligned}.$$.The formulas above 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 $A$ ?
SAT · Math · previous-year question
- A.$w=30 A-4$correct
- B.$w=30 A+4$
- C.$w=30(A-4)$
- D.$w=30(A+4)$
Answer
A. $w=30 A-4$
Explanation
Choice A is correct. Current's formula is $A=\frac{4+w}{30}$. Multiplying each side of the equation by 30 gives $30 A=4+w$. Subtracting 4 from each side of $30 A=4+w$ gives $w=30 A-4$.Choices $\mathrm{B}, \mathrm{C}$, and $\mathrm{D}$ are incorrect and may result from errors in choosing and applying operations to isolate $w$ as one side of the equation in Current's formula.
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