Radioactive elements decrease (or decay) exponentially. Suppose that 124 mg of an unknown radioactive element decays down to 98 mg after 14 days. (a) What is the half-life of the element? That is, how many days will it take before half of the original sample has decayed? half-life: days (rounded to at least 2 decimal places) (b) How long will it take for a sample of mg to decay to 14 mg? time needed: days (rounded to at least 2 decimal places)

Radioactive elements decrease (or decay) exponentially. Suppose that 124 mg of an unknown radioactive element decays down to 98 mg after 14 days. (a) What is the half-life of the element? That is, how many days will it take before half of the original sample has decayed? half-life: days (rounded to at least 2 decimal places) (b) How long will it take for a sample of mg to decay to 14 mg? time needed: days (rounded to at least 2 decimal places)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Radioactive elements decrease (or decay) exponentially. Suppose that 124 mg of an unknown radioactive
element decays down to 98 mg after 14 days.
(a) What is the half-life of the element? That is, how many days will it take before half of the original
sample has decayed?
half-life:
days (rounded to at least 2 decimal places)
(b) How long will it take for a sample of mg to decay to 14 mg?
time needed:
days (rounded to at least 2 decimal places)

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Step 1: Introduce to the given information

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Step 2: Determining the exponential equation for the amount of the radioactive element

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Step 3: (a) Determining the half life of the substance

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Step 4: (b) Determine the time it will take for a sample to decay to 14 mg

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