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Unit: exponential and logarithmic functions 2. The decay of a radioactive substance is recorded in the table below. Time (minutes) Amount(grams) 480 5 444.39 10

Unit: exponential and logarithmic functions

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2. The decay of a radioactive substance is recorded in the table below. Time (minutes) Amount(grams) 480 5 444.39 10 380.89 20 352.63 25 331.54 a) Determine an equation that models the data b) How much radioactive substance will be left in 12 minutes? How long will it take the radioactive substance to decay to half of its original amount? d) State the range of the function 3. The population of a city since 1996 is shown in the table below. Population Number of years since 1996 27500 4 28000 5 28500 6 29600 8 30700 10 A) Determine the logarithmic equation that models this data b) Using your equation , predict the population of the city in 2016

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