The half-life of krypton-91 (* K>) is 10 seconds. At time t= 0, a heavy canister contains 3 grams of this radioactive gas. a. Find a function 4(1) = P,M that models the amount of " Krremaining in the canister after t seconds. b. Find a function A(r) – Po" that models the amount of " Krremaining in the canister after t seconds. c. How much " Kr remains after 2 minutes? d. After how long will the amount of " Kr remaining be reduced to 1 ug (microgram or 10* grams?

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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10. The half-life of krypton-91 ()91Kr is 10 seconds. At time t = 0, a heavy canister contains 3 grams of this radioactive gas. I need a, b, c and d from what the image is saying

10. The half-life of krypton-91 (" Kr) is 10 seconds. At time t = 0, a heavy canister contains
3 grams of this radioactive gas.
a. Find a function A(t)= P,M that models the amount of " Krremaining in the canister
after t seconds.
b. Find a function A(t)= Pe" that models the amount of Krremaining in the canister
after t seconds.
c. How much " Kr remains after 2 minutes?
d. After how long will the amount of "Kr remaining be reduced to 1 ug (microgram or
10* grams?
Transcribed Image Text:10. The half-life of krypton-91 (" Kr) is 10 seconds. At time t = 0, a heavy canister contains 3 grams of this radioactive gas. a. Find a function A(t)= P,M that models the amount of " Krremaining in the canister after t seconds. b. Find a function A(t)= Pe" that models the amount of Krremaining in the canister after t seconds. c. How much " Kr remains after 2 minutes? d. After how long will the amount of "Kr remaining be reduced to 1 ug (microgram or 10* grams?
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