If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left af ter 32 hours? Is the radioactive decay modeled by a linear function or an exponential function?
2 answers:
Answer:
22.5 grams; exponential
Step-by-step explanation:
Did it on usa test prep and got it right
Answer:
There will be 22.5 grams left after 32 hours.
Step-by-step explanation:
A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.
32hrs/8hrs = 4 half lives.
Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.
(1/2)^4 * 360
1/16 * 360
22.5 grams
And this is an exponential function.
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