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Back to 6.7 Exponential and Logarithmic Models

6.7 Exercise 76

Avg difficulty 2.5

Choose the correct answer choice.

A doctor injects a patient with 13 milligrams of radioactive dye that decays exponentially. After 12 minutes, there are 4.75 milligrams of dye remaining in the patient’s system. Which is an appropriate model for this situation?

  1. ⓐ f( t )=13 ( 0.0805 ) t f \left(t\right) = 13 \left(0.0805\right)^{t}
  2. ⓑ f( t )=13 e 0.9195t f \left(t\right) = 13 e^{0.9195 t}
  3. ⓒ f(t)=13 e (−0.0839t) f \left(t\right) = 13 e^{\left(- 0.0839 t\right)}
  4. ⓓ f( t )= 4.75 1+13 e −0.83925t f \left(t\right) = \frac{4.75}{1 + 13 e^{- 0.83925 t}}

OpenStax Algebra and Trigonometry 2e, 6.7 Exponential and Logarithmic Models, exercise 76

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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.