Carbon-14 is a radioactive substance produced in the Earth's atmosphere and then absorbed by plants and animals on the surface of the earth. It has a half-life (the time it takes for half the amount of a sample to decay) of approximately 5730 years. Using this known piece of information, scientists can date objects such as the Dead Sea Scrolls. The function N = Noe\" represents the exponential decay of a radioactive substance. N is the amount remaining after time t in years, No is the initial amount of the substance and A is the decay constant. 1. Find the rate of change of an initial amount of 1 gm of carbon-14 found in the scrolls, if the decay constant is given as A = 1. 21 X 104. - Blank 1 2. If the percentage of carbon-14 atoms remaining in a sample is 79%, how old is the sample? - Blank 2 BlaNk # 1 -1.21*10A4 x 1 g/year l {y Blank # 2 1948 years old ' Q/