document.write( "Question 1178628: At Zoom University, people's faces appear as circles on a rectangular screen. The radius of one's face is directly proportional to the square root of the area of the screen it is displayed on. Haydn's face has a radius of 2 on a computer screen with area 36. What is the radius of his face on a 16 × 9 computer screen?
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Algebra.Com's Answer #807993 by Theo(13342) $\"\"$ $\"About$

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the direct variation formula is y = kx
\n" ); document.write( "k is the constant of variation.
\n" ); document.write( "y is the radius of his face.
\n" ); document.write( "x is the square root of the area of the screen.
\n" ); document.write( "when y = 2 and the square root of 36 is 6, the formula becomes:
\n" ); document.write( "2 = k * 6
\n" ); document.write( "solve for k to get:
\n" ); document.write( "k = 2/6 = 1/3
\n" ); document.write( "when the screen size is 16 * 9, the area of the screen is 144.
\n" ); document.write( "the square root of the area of the screen is 12.
\n" ); document.write( "the formula becomes y = 1/3 * 12 = 4.
\n" ); document.write( "this says that the radius of his face is equal to 4 when the area of the screen is 144.
\n" ); document.write( "that sshould be your solution.
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