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Q2
The function R(t) = 50e -0.013t
models the number
of grams in a sample of radium after t years. On which
interval is the sample's average rate of decay the
slowest?
[0, 5]
[10, 20]
[25, 30]
[25,35]

Sagot :

Xero099idn

Answer:

The interval [25, 35] has the slowest average rate of decay.

Step-by-step explanation:

The number of grams in a sample of radium is represented by the function [tex]r(t) = 50\cdot e^{-0.013\cdot t}[/tex], which is a monotonous decreasing function. Hence, the greater the values of [tex]t[/tex], the slowest the average rate of decay, represented by a secant line. The interval [25, 35] has the slowest average rate of decay.

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