If the function Q is defined by the formula Q = 5w/(4d(z^2)), by what factor will Q be multiplied if w is quadrupled, d is doubled, and z is tripled?
Choose the correct option.
A) 1 / 9  B) 2 / 9  C) 4 / 9  D) 3 / 9  E) 2 / 27

Rationale: "we just need to find the factor thats all , w - > quadrupled - > 4 w d - > doubled - > 2 d z - > tripled - > 3 z hence , z ^ 2 = 9 z ^ 2 w is in numerator , and d * z in denominator . hence , additional factor being introduced = 4 / 2 * 9 = 4 / 18 = 2 / 9 = b"
Answer: B