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## Algebra 2

### Unit 7: Lesson 2

Constructing exponential models according to rate of change

# Construct exponential models

## Problem

Carbon-14 is an element which loses start fraction, 1, divided by, 10, end fraction of its mass every 871 years. The mass of a sample of carbon-14 can be modeled by a function, M, which depends on its age, t (in years).
We measure that the initial mass of a sample of carbon-14 is 960 grams.
Write a function that models the mass of the carbon-14 sample remaining t years since the initial measurement.
M, left parenthesis, t, right parenthesis, equals
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