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Ierofanga [76]
3 years ago
12

There was a sample of 650 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 7.8% eac

h 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 t
and y
.
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

Answer:

y = 650·0.922^t

Step-by-step explanation:

At the end of each year, 92.2% of the amount at the beginning of the year remains. That is, the beginning amount is multiplied by 0.922. The exponent t in 0.922^t tells how many times (years) that multiplication has taken place. At the end of t years, the amount remaining in milligrams (y) is ...

y = 650·0.922^t

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