2022-03-28

There was a sample of

300

milligrams of a radioactive substance to start a study. Since then, the sample has decayed by

2.3%

each year.

Let

*t*

be the number of years since the start of the study. Let

*y*

be the mass of the sample in milligrams.

Write an exponential function showing the relationship between

*y*

and

*t*

.

user_27qwe

Skilled2022-04-21Added 375 answers

${y}_{0}=300$

$r=2.3\%-0.023$

$y={y}_{0}(1-r{)}^{t}$

$=300(1-0.023{)}^{t}$

$y=300(0.977{)}^{t}$

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