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irga5000 [103]
3 years ago
7

Clemence began studying a sample of the chemical element einsteinium- 253 253253, which naturally loses its mass over time. The

relationship between the elapsed time, t tt, in days, since Clemence started studying the sample, and the total mass remaining in the sample, M ( t ) M(t)M, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function: M(t)=200⋅(0.96)t Complete the following sentence about the daily rate of change in the mass of the sample.
Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Using exponential function concepts, it is found that the daily rate of change in the mass of the sample is of -4%, that is, the amount decays by 4%.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the function is:

M(t) = 200(0.96)^t

Hence:

1 - r = 0.96

r = 0.04

1 - r < 1, hence the rate is negative, and the daily rate of change in the mass of the sample is of -4%.

You can learn more about exponential function concepts at brainly.com/question/25537936

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Read more about half life at:brainly.com/question/26148784

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