If the function Q is defined by the formula Q = 5w/(4x(z^2)) , by what factor will Q be multiplied if w is quadrupled, x is doubled, and z is tripled?
1/9
2/9
4/9
3/9
2/27
1/9
2/9
4/9
3/9
2/27
Q = 5w/(4xz²)GmatKiss wrote:If the function Q is defined by the formula Q = 5w/(4x(z^2)) , by what factor will Q be multiplied if w is quadrupled, x is doubled, and z is tripled?
After quadrupling w, doubling x, and tripling z the new function will be equal to, Q' = 5*(4w)/[4*(2x)*(3z)²] = 4*(5w)/[4*(2x)*(9z²)] = [4/(2*9)]*(5w)/(4xz²) = (4/18)*Q = (2/9)*Q
The correct answer is B.
