2. In 2013 the partial skeleton of a human child was found in Kenya. Radiocarbon dating of the remains

determined that they were approximately 78,300 years old. The half-life of Carbon-14 is 5730 years.

a) Write a function of the form Q(t) = Qoe-kt to model the quantity Q(t) of Carbon-14 that is present in

the bones after t years. Find the value of k rounding to 6 decimal places Show how you obtained your

function Q(t).

b) What percent (%) of the original amount of Carbon-14 still remained in the bone sample when it was

found? Round your percent (%) answer to three decimal places.