$[$Q$10]$The Earth orbits the Sun at a distance of $1\mathrm{.}0$ AU$.$ If an asteroid orbits the Sun at a distance of $5\mathrm{.}3$ AU $,$ how long does it take for the asteroid to make a complete orbit around the Sun, in Earth years?

a$.13\mathrm{.}84$ years

b$.16\mathrm{.}24$ years

c$.19\mathrm{.}16$ years

d$.12\mathrm{.}20$ years

e$.25\mathrm{.}43$ years