If Mosteller’s and Current’s formulas give the same estimate for A, which of the following expressions is equivalent to $square root of h w end root$ ?
Mosteller’s formula: A = $fraction numerator square root of h w end root over denominator 60 end fraction$
Current’s formula: A = $fraction numerator 4 space plus space w over denominator 30 end fraction$
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 centimetres.

$\frac{4 + w}{2}$
$\frac{4 + w}{1800}$
2( 4 + w)
$\frac{{(4 + w)}^{2}}{2}$

The correct answer is: 2( 4 + w)

HINT – Try and remove A from Mosteller’s equation
SOLUTION - Mosteller’s formula : A = $square root of h w end root$ ---- (1)
Current’s formula : A = $fraction numerator 4 space plus space w over denominator 30 end fraction$
Put value of A from (1) in above equation
We get, $fraction numerator square root of h w end root over denominator 60 end fraction$ = $fraction numerator 4 plus w over denominator 30 end fraction$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow square root of h w end root equals 60 open parentheses fraction numerator 4 plus w over denominator 30 end fraction close parentheses end cell row cell not stretchy rightwards double arrow square root of h w end root equals 2 left parenthesis 4 plus straight w right parenthesis end cell end table$
Hence, option C is true

Mosteller's equation: "A=sqrt(hw)/60" The current equation is A=(4+w)/30. In medicine, the formulas mentioned above are used to calculate the body surface area A, in square meters, of newborns and kids whose weights (w) range from 3 to 30 kilograms and whose heights (h) are measured in centimeters.

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2( 4 + w)

The correct answer is: 2( 4 + w)

HINT – Try and remove A from Mosteller’s equationSOLUTION - Mosteller’s formula : A = ---- (1)Current’s formula : A = Put value of A from (1) in above equationWe get, = Hence, option C is true

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$\frac{4 + w}{2}$
$\frac{4 + w}{1800}$
2( 4 + w)
$\frac{{(4 + w)}^{2}}{2}$

Which of the following expressions is equivalent to 2a² (a + 3) ?

Which of the following expressions is equivalent to 2a² (a + 3) ?

If a – b = 12and $b over 2$ = 10, what is the value of a + b ?

If a – b = 12and $b over 2$ = 10, what is the value of a + b ?

In the xy-plane above, if point F (not shown) is placed so that triangle ABC is similar to triangle $D F E$ , which of the following could be the coordinates of the point F ?

In the xy-plane above, if point F (not shown) is placed so that triangle ABC is similar to triangle $D F E$ , which of the following could be the coordinates of the point F ?

If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately 3 $7 over 8$ inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8-inch-tall column?

If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately 3 $7 over 8$ inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8-inch-tall column?