On March 11, 2011, Japan suffered an earthquake and tsunami that caused a disastrous accident at...

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Advance Math

On March 11, 2011, Japan suffered an earthquake and tsunami thatcaused a disastrous accident at the Fukushima nuclear power plant.Among many other results, amounts of iodine-131 that were 27 timesthe government limit were found in a sample of spinach 60 milesaway.† Now, 27 times the government limit of iodine-131 is 54thousand becquerels per kilogram.† The following table shows theamount I, in thousands of becquerels per kilogram, ofiodine-131 that would remain after t days.

t = time, in daysI = amount of
iodine-131
054.00
149.52
245.41
341.64
438.18

(a)

Show that the data are exponential. (In this part and the next,round to three decimal places.)

Because t increases by 1 each time, to show that thedata are exponential, we must show that the successive ratios(rounded to three decimal places) are the same. Because all of theratios are equal to  , the data are exponential.

(b)

Find an exponential model I that shows the amount ofiodine-131 present after t days.

I(t) =

(c)

How long will it take for the amount of iodine-131 to fall tothe government limit of 2 thousand becquerels per kilogram? Roundyour answer to the nearest whole day.

days

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On March 11 2011 Japan suffered an earthquake and    See Answer
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