Exponential and Logarithmic Models · Exercise 57

For the following exercise, 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?

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

OpenStax, Algebra and Trigonometry 2e · §6.7 Exponential and Logarithmic Models · Exercise 57