Four physicists describe the amount of a radioactive substance, Q in grams, left after t years: i. Q = 300e-0.0577t t ii. = 300 iii. Q = € 300 x 0.9439t iv. Q = 252.290 x 0.9439t-3 a. Show that the expressions describing the radioactive substance are all equivalent (using appropriate rounding). b. What aspect of the decay of the substance does each of the formulas highlight? Note: The number e is a mathematical constant approximately equal to 2.71828.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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G12 function

Four physicists describe the amount of a radioactive substance, Q in grams, left
after t years:
i. Q = 300e-0.0577t
t
ii.
= 300
iii.
Q = € 300 x 0.9439t
iv.
Q = 252.290 x 0.9439t-3
a. Show that the expressions describing the radioactive substance are all
equivalent (using appropriate rounding).
b. What aspect of the decay of the substance does each of the formulas
highlight?
Note: The number e is a mathematical constant approximately equal to 2.71828.
Transcribed Image Text:Four physicists describe the amount of a radioactive substance, Q in grams, left after t years: i. Q = 300e-0.0577t t ii. = 300 iii. Q = € 300 x 0.9439t iv. Q = 252.290 x 0.9439t-3 a. Show that the expressions describing the radioactive substance are all equivalent (using appropriate rounding). b. What aspect of the decay of the substance does each of the formulas highlight? Note: The number e is a mathematical constant approximately equal to 2.71828.
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