A rock contains 0.144 g of Pb-206 to every 1.00 g of u-238. Determine the age of this rock assuming that the rock did not contain any Pb-206 at the time of its formation. U-238 decays to Pb-206 with a half-life of 4.50x10⁹ years. The molar masses of U-238 and Pb-206 are 238.05 g/mol and 205.97 g/mol, respectively.

a. 1.16x10¹⁰ years
b. 1.26x10¹⁰ years
c. 8.73x10⁸ years
d. 7.62x10⁸ years
e. 9.99x10⁸ years