In 1986, the worst nuclear power plant accident in history occurred in the Chernobyl Nuclear Power Plant located in the Ukraine. On April 26, one of the reactors exploded, releasing large amounts of radioactive isotopes into the atmosphere. The amount of pluto- nium present after t years can be modeled by the function: y = Pe 000 where P represents the amount of plutonium that is released. a. Graph this function over the interval 0sts 100,000 and P = 10 grams. b. If 10 grams of the isotope plutonium-239 were released into the air, to the nearest hun- dredth, how many grams will be left after 10 years? After 100 years?

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In 1986, the worst nuclear power plant accident in history occurred in the Chernobyl
Nuclear Power Plant located in the Ukraine. On April 26, one of the reactors exploded,
releasing large amounts of radioactive isotopes into the atmosphere. The amount of pluto-
nium present after t years can be modeled by the function:
y = Pe
where P represents the amount of plutonium that is released.
a. Graph this function over the interval 0 <t< 100,000 and P = 10 grams.
b. If 10 grams of the isotope plutonium-239 were released into the air, to the nearest hun-
dredth, how many grams will be left after 10 years? After 100 years?
Transcribed Image Text:In 1986, the worst nuclear power plant accident in history occurred in the Chernobyl Nuclear Power Plant located in the Ukraine. On April 26, one of the reactors exploded, releasing large amounts of radioactive isotopes into the atmosphere. The amount of pluto- nium present after t years can be modeled by the function: y = Pe where P represents the amount of plutonium that is released. a. Graph this function over the interval 0 <t< 100,000 and P = 10 grams. b. If 10 grams of the isotope plutonium-239 were released into the air, to the nearest hun- dredth, how many grams will be left after 10 years? After 100 years?
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