Solve the Problem $67 \mathrm { yr }$ And the Initial Quantity Is

Multiple Choice

Solve the problem.
-If the half-life of an element is $67 \mathrm { yr }$ and the initial quantity is $3 \mathrm {~kg}$ , write a function of the form $Q ( t ) = Q _ { 0 } e ^ { - k t }$ to model the quantity of the element left after $t$ years. Round $k$ to 4 decimal places.

A) $Q ( t ) = 67 e ^ { - 0.0103 t }$
B) $Q ( t ) = 67 e ^ { - 0.0034 t }$
C) $Q ( t ) = 3 e ^ { - 0.0034 t }$
D) $Q ( t ) = 3 e ^ { - 0.0103 t }$