Krypton-91 is a radioactive substance that decays very quickly. the function q(t)=qoe^-kt models radioactive decay of krypton-91. q represents the quantity remaining after t seconds and the decay constant k is approximately 0.07. how long will it take a quantity of krypton-91 to decay t o10% of its origional amount? round your answer to the nearest second.

32.894 seconds ≈ 33 seconds

Step-by-step explanation:

Function :

The function models radioactive decay of krypton-91.

The decay constant k is approximately 0.07.

denotes initial amount .

We are require to find How long will it take a quantity of krypton-91 to decay to 10% of its original amount

So, we neet to find t at which

Taking log both sides

Thus it will take 32.894 seconds ≈ 33 seconds a quantity of krypton-91 to decay to 10% of its original amount.