The radioactive decay of a substance is modelled by the formula R = 140e kt t
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The radioactive decay of a substance is modelled by the formula R = 140ekt t ≥ 0 where R is a measure of radioactivity (in counts per minute) at time t days, and k is a constant.
a. Explain briefly why k must be negative.
b. Sketch the graph of R against t.
After 30 days the radiation is measured at 70 counts per minute.
c. Show that k = c ln 2, stating the value of the constant c.
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Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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