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6.7 Exercise 56

Avg difficulty 2.5

Use this scenario: A tumor is injected with 0.5 0.5 grams of Iodine-125, which has a decay rate of 1.15% 1.15% per day.

A scientist begins with 250 \text{250} grams of a radioactive substance. After 250 \text{250} minutes, the sample has decayed to 32 \text{32} grams. Rounding to five decimal places, write an exponential equation representing this situation. To the nearest minute, what is the half-life of this substance?

OpenStax Algebra and Trigonometry 2e, 6.7 Exponential and Logarithmic Models, exercise 56

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.