A vial of radioactive material is found at a site where it was left unattended. At the time the vial was found there was 10 grams of material. Four days later it is estimated that there is 8 grams of material. a. Find an exponential model that gives the size of the material after t days. b. Find the daily decay rate for the material. c. Determine how much material will be in the vial twelve days after it was found. d. After how many days will only 1 gram of the material remain?
A vial of radioactive material is found at a site where it was left unattended. At the time the vial was found there was 10 grams of material. Four days later it is estimated that there is 8 grams of material. a. Find an exponential model that gives the size of the material after t days. b. Find the daily decay rate for the material. c. Determine how much material will be in the vial twelve days after it was found. d. After how many days will only 1 gram of the material remain?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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A vial of radioactive material is found at a site where it was left unattended. At the time the vial was found there was 10 grams of material. Four days later it is estimated that there is 8 grams of material.
a. Find an exponential model that gives the size of the material after t days.
b. Find the daily decay rate for the material.
c. Determine how much material will be in the vial twelve days after it was found. d. After how many days will only 1 gram of the material remain?
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