7. The amount of the isotope carbon-14 has a half-life of 5,730 years. It is used to determine the age of certain archeological discoveries. Consider the function that represents the amount of carbon-14 in an archeological discovery.

Part A: Define a variable for the function and state what the variable represents.

Part B: What is a reasonable domain for the situation?

Part C: If a fossil has 240 moles of carbon-14, then write the function that represents the price of the archeological.

Part D: How much carbon-14 is in the fossil in 14 half-lives (or 80,220 years)?

Please show work!