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
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
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd057c218-4bf0-4c43-8000-b0a150155278%2F20df2729-a2ea-4b00-81e4-ea269cb6af44%2Flc88ovw_processed.jpeg&w=3840&q=75)
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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