According to One Advertisement, Burger King's All-Beef Hamburger Patties Have $85 \%$

According to one advertisement, Burger King's all-beef hamburger patties have $85 \%$ more beef than McDonald's all-beef hamburger patties. If both chains serve circular patties of the same thickness, then the diameter of Burger King's patties, $d_{B}$ , will be directly proportional to the diameter of McDonald's patties, $d_{M}$ . Which of the following formulas express $d_{B}$ as a function of $d_{M}$ ?

A) $d_{B}=d_{M}(0.85) ^{1 / 2}$
B) $d_{B}=d_{M}(0.85) ^{-1/ 2}$
C) $d_{B}=d_{M}(1.85) ^{1 / 2}$
D) $d_{B}=d_{M}(1.85) ^{-1 / 2}$