Radioactive material disintegrates at a rate proportional to the amount currently present. If Q(t) is the amount present at time
t (in weeks), then dQ dt = −rQ, where r > 0 is the decay rate.
A) If 500 mg of a mystery substance decays to 83.01 mg in 5 weeks, determine the decay rate r.
B) Find an expression for the amount of this substance present at any time t.
C) Find the time required for the substance to decay to one-half its original amount.
A) If 500 mg of a mystery substance decays to 83.01 mg in 5 weeks, determine the decay rate r.
B) Find an expression for the amount of this substance present at any time t.
C) Find the time required for the substance to decay to one-half its original amount.
1 answer:
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Answer: (1,2) and (-1,4)
Step-by-step explanation:
Slope =
The slope of the line given is - 1
Checking which of the ordered pair has the same slope , the formula will be used to check , and the only pair that will give - 1 is (1,2) and (-1,4)