Polonium-210 has a half-life of 140 days. Suppose a sample of this substance has a mass of 300 mg. (a) Find a function that models the amount of the sample remaining at time t. (b) Find the mass remaining after one year. (c) How long will it take for the sample to decay to a mass of 200 mg? (d) Draw a graph of the sample mass as a function of time.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 14TI: The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14...
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Polonium-210 has a half-life of 140 days. Suppose a sample of this substance has a mass of 300 mg.

(a) Find a function that models the amount of the sample remaining at time t.

(b) Find the mass remaining after one year.

(c) How long will it take for the sample to decay to a mass of 200 mg?

(d) Draw a graph of the sample mass as a function of time.

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