document.write( "Question 413925: suppose y varies directly as the square of x,
\n" ); document.write( "a. Find the constant of proportionality if y=4 when x=3. What is x when yis 16?
\n" ); document.write( "b. if the constant of variation is 5/8, what is y when x=6? what i x when y= 90?
\n" ); document.write( "c. find the constant of variation and the value of y when x=5 if y=2 when x=2 \n" ); document.write( "
Algebra.Com's Answer #290359 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" );
document.write( "Hi
\n" );
document.write( "y varies directly as the square of x
\n" );
document.write( "a. Find the constant of proportionality if y=4 when x=3. What is x when yis 16?
\n" );
document.write( "  4 = k*9  k = 9/4    
\n" );
document.write( "  16 = 9/4*x*2
\n" );
document.write( "  64/9 = x^2     x = ± 8/3\r
\n" );
document.write( "\n" );
document.write( "b. if the constant of variation is 5/8, what is y when x=6? what i x when y= 90?
\n" );
document.write( "  y = (5/8)*36 = 22.5      90 = (5/8)x^2    x = ± 12 \r
\n" );
document.write( "\n" );
document.write( "c. find the constant of variation and the value of y when x=5 if y=2 when x=2
\n" );
document.write( "   2 = k*2^2   k = 2/4 = 1/2      y = (1/2)*25   y = 25/2  or 12.5 
\n" );
document.write( " \n" );
document.write( "
\n" );