8). Radioactive decay. Iodine-131 has a decay rate of 9.6% per day. The rate of change of an amount N of iodine-131 is given by dN :-0.096N dt where t is the number of days since the decay began. a) Let No represent the amount of iodine-131 present at t = 0. Find the exponential function that models the situation. b) Suppose that 500 g of iodine-131 is present at t = 0. How much will remain after 4 days? c) After how many days will half of the 500 g of iodine-131 remain?

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8). Radioactive decay. Iodine-131 has a decay rate of 9.6%
per day. The rate of change of an amount N of iodine-131
is given by
dN
:-0.096N
dt
where t is the number of days since the decay began.
a) Let No represent the amount of iodine-131 present at
t = 0. Find the exponential function that models the
situation.
b) Suppose that 500 g of iodine-131 is present at t = 0.
How much will remain after 4 days?
c) After how many days will half of the 500 g of
iodine-131 remain?
Transcribed Image Text:8). Radioactive decay. Iodine-131 has a decay rate of 9.6% per day. The rate of change of an amount N of iodine-131 is given by dN :-0.096N dt where t is the number of days since the decay began. a) Let No represent the amount of iodine-131 present at t = 0. Find the exponential function that models the situation. b) Suppose that 500 g of iodine-131 is present at t = 0. How much will remain after 4 days? c) After how many days will half of the 500 g of iodine-131 remain?
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