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The number of kilograms, y, of a radioactive element that remains after t hours can be modeled by the equation y = 0.23 ( 0.91 ) t . What is the rate of decrease of this radioactive element? A. 9% per hour B. 23% per hour C. 77% per hour D. 91% per hour

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Answer:

A. 9% per hour

Explanation:

we know that

The equation of a exponential decay function is given by


y=a(1-r)^t

where

a is the initial value

r is the rate of decrease

we have


a=0.23\ kg\\1-r=0.91\\r=1-0.91\\r=0.09

Convert to percentage

Multiply by 100


r=0.09(100)=9\%

User Jarek Potiuk
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