1 of 1 There was a sample of 300 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 1.5% each year. OGRAPHS, FUNCTIONS, AND SYSTEMS Writing an equation that Lett 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. 00 0=0 0.0 X 08 0/3 S Evelyn Español ? 国 ▸ 4 V

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**GRAPHS, FUNCTIONS, AND SYSTEMS**

### Writing an Equation

There was a sample of 300 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 1.5% 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 \( t \).

[Input box for the function]

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The exponential decay formula is typically written as:

\[ y = a(1 - r)^t \]

where:
- \( a \) is the initial amount (300 mg),
- \( r \) is the decay rate (0.015 for 1.5%),
- \( t \) is the time in years.
Transcribed Image Text:**GRAPHS, FUNCTIONS, AND SYSTEMS** ### Writing an Equation There was a sample of 300 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 1.5% 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 \( t \). [Input box for the function] **Tools Available:** - Graph plotting - Equation editor - Help function - Video tutorial - Calculation tool - Contact support The exponential decay formula is typically written as: \[ y = a(1 - r)^t \] where: - \( a \) is the initial amount (300 mg), - \( r \) is the decay rate (0.015 for 1.5%), - \( t \) is the time in years.
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