Question #f65fd
1 Answer
Mar 1, 2017
Explanation:
Consider each statement separately.
• ypropx^2larrcolor(blue)" direct variation"
• yprop1/zlarrcolor(blue)" inverse variation" Combine the right sides as a product.
• ypropx^2/zlarrcolor(blue)" joint variation" Convert to an equation by introducing k,
color(blue)" the constant of variation"
rArry=kxxx^2/z
rArry=(kx^2)/z
color(blue)"cross-multiplying" gives.
kx^2=yz
rArrk=(yz)/x^2 To calculate k, substitute the given values for x, y and z
rArrk=(6xx27)/9^2=162/81=2
"the equation of variation is "color(red)(bar(ul(|color(white)(2/2)color(black)(y=(2x^2)/z)color(white)(2/2)|)))
