There was a sample of 200 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 5.4% 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.

Question

Mathematics

Barbara Strong

17 June, 08:46

There was a sample of 200 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 5.4% 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.

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Answers (1)

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Jamie Holloway · Answer 1

For this case we have a function of the form:

y = A * (b) ^ t

Where,

A: initial amount

b: decrease rate

t: time

Substituting values we have:

y = 200 * (0.946) ^ t

Answer:

An exponential function showing the relationship between and and is:

y = 200 * (0.946) ^ t