Carbon-14 is a radioactive substance that decays over time. It is used to date fossils and other objectscontaining organic matter. In the following table, C(t) is the amount in grams of carbon-14 remainingat time t , measured in thousands of years.Year 0 10 15 20Amount in grams remaining 5 1.5 0.8 0.4a. Find the average rate of change for each interval: [0, 10], [10, 15], [15, 20]. Include appropriateunits.b. Interpret the meaning of the average rate of change on the interval [10, 15].c. Estimate the instantaneous rate of change at t = 15 and state the appropriate units

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Carbon-14 is a radioactive substance that decays over time. It is used to date fossils and other objects
containing organic matter. In the following table, C(t) is the amount in grams of carbon-14 remaining
at time t , measured in thousands of years.
Year 0 10 15 20
Amount in grams remaining 5 1.5 0.8 0.4
a. Find the average rate of change for each interval: [0, 10], [10, 15], [15, 20]. Include appropriate
units.
b. Interpret the meaning of the average rate of change on the interval [10, 15].
c. Estimate the instantaneous rate of change at t = 15 and state the appropriate units

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