The mass, m grams, of a radioactive substance is given by the formula m = m₀e^−kt, where t is the time in days after the mass was first recorded and m₀ and k are constants.

The table below shows experimental values of t and m.

a. Draw the graph of ln m against t.
b. Use your graph to estimate the value of m₀ and k.
c. The half-life of a radioactive substance is the time it takes to decay to half of its original mass. Find the half-life of this radioactive substance.

Transcribed Image Text:

t m 10 20 40.9 33.5 30 27.4 40 22.5 50 18.4