A scientist has 50 grams of a radioactive element. The amount of radioactive element remaining after t days can be determined using the equation f (f) = 50 (1/2) ^t/5. After two days the scientist receives a second shipment of 50 grams of the same element. The equation used to represent the amount of shipment 2 remaining after t days is f (f) = 50 (1/2) ^t-2/5. Which of the following is an equivalent form of the expression for the amount remaining in shipment 2?

Question

Harold Welch

Mathematics

14 February, 17:49

A scientist has 50 grams of a radioactive element. The amount of radioactive element remaining after t days can be determined using the equation f (f) = 50 (1/2) ^t/5. After two days the scientist receives a second shipment of 50 grams of the same element. The equation used to represent the amount of shipment 2 remaining after t days is f (f) = 50 (1/2) ^t-2/5. Which of the following is an equivalent form of the expression for the amount remaining in shipment 2?

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Answers (1)

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Miguel Yoder · Answer 1

Supposing that the question would be something like, "How much of each shipment stays two days after each one was gotten?"

Shipment 1: f (t) = 50 (1/2) ^t/5 t = 2 days f (t) = 37.9 grams

Shipment 2 f (t) = 50 (1/2) ^t-2/5 t = 2 days f (t) = 16.5 grams