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9. Sucralose, or Splenda, is made during a chemical process in which three hydrogen-oxygen groups are replaced with chlorine atoms. The result is a sweetener

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9. Sucralose, or Splenda, is made during a chemical process in which three hydrogen-oxygen groups are replaced with chlorine atoms. The result is a sweetener that tastes like sugar but is about 600 times sweeter. Splenda does not occur in nature, so it is not a "natural" product. The body does not metabolize sucralose, so it has no calories). Assume: o the initial amount of sucralose in a can of Diet Coke with Splenda is 40 mg 0 the amount of sucralose in a person's body decreases by 50% every 2 days a. Complete the table of values for the above information. (1 mark) Time Remaining Amount (days) of Sucralose (mg) b. Determine an exponential regression equation, y = a '1'):t , for your table of values. Round a to the nearest whole number and b to the nearest hundredth. Describe the rate of decay of sucralose, as a percentage, based on your regression equation. (2 marks) c. Sketch your exponential function and state an appropriate range. (2 marks) d. The decay of sucralose can be written using the exponential equation S (I) = 40[%]2 , where S is the amount of sucralose and t is the number of days that have passed. Algebraically determine how many days it takes for only 5 mg of sueralose to remain. Round your answer to the nearest tenth. (2 marks)

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