$(5$ pts$)18.$ The half$-$life of $\_(()6)^(14)$C is $5730$ years. The activity of atmospheric carbon due to the

presence of $\_(()6)^(14)$C is $0\mathrm{.}255$ Bq per gram of carbon. A sample of carbon from an archeological site

contains $6\mathrm{.}00$ grams of carbon and its activity is $0\mathrm{.}300$ Bq $.$ What is the age of the sample?

$($a$)1\mathrm{.}15\backslash$times $10^(4)$ years

$($b$)1\mathrm{.}25\backslash$times $10^(4)$ years

$($c$)1\mathrm{.}35\backslash$times $10^(4)$ years

$($d$)1\mathrm{.}40\backslash$times $10^(4)$ years

$($e$)1\mathrm{.}50\backslash$times $10^(4)$ years

$($f$)$ none of the above answers

The answer should be C but I$\text{'}$m getting stuck on how to get there.