A lead vest used for patients having dental x-rays taken is being tested to determine what percent A of the x-rays penetrate the vest for various thicknesses of lead inside the vest. The current model shows that 20% fewer x-rays penetrate the vest for each 4-millimeter (mm) increase in thickness of the lead in the vest. Find an exponential model for the percent A of x-rays that penetrate the vest as a function of the thickness, x, of the vest in mm. A= ? Use your model to predict the percent of x-rays that will penetrate a vest 40 mm thick. Round to the nearest tenth of a percent. ? %

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A lead vest used for patients having dental x-rays taken is being tested to determine what percent A of the x-rays penetrate the vest for various thicknesses of lead inside the vest. The current model shows that 20% fewer x-rays penetrate the vest for each 4-millimeter (mm) increase in thickness of the lead in the vest. Find an exponential model for the percent A of x-rays that penetrate the vest as a function of the thickness, x, of the vest in mm. A= ? Use your model to predict the percent of x-rays that will penetrate a vest 40 mm thick. Round to the nearest tenth of a percent. ? %
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