The bones of a newly discovered dinosaur weigh 170 pounds and measure 9 feet, with a 6-inch claw on one toe of each hind foot. The age of the dinosaur was estimated using a radioactive substance dating of rocks surrounding the bones. Complete parts a and b. Question content area bottom Part 1 a. The radioactive substance decays exponentially with a half-life of approximately 1.36 billion years. Use the fact that after 1.36 billion years a given amount of the radioactive substance will have decayed to half the original amount to show that the decay model for the radioactive substance is given by AequalsUpper A 0 e Superscript negative 0.50967 t, where t is in billions of years. To show that the decay model for the radioactive substance is AequalsUpper A 0 e Superscript negative 0.50967 t, find the decay rate k for a substance. Substitute the values of A and t in the exponential decay model, AequalsUpper A 0 e Superscript kt. A equalsUpper A 0 e Superscript kt ▼ 2 Upper A 0 StartFraction Upper A 0 Over 4 EndFraction StartFraction Upper A 0 Over 2 EndFraction Upper A 0 equalsUpper A 0 e Superscript 1.36 k Substitute.
