For certain decisions, the time it takes to respond is a logarithmic function of the number of choices faced.† One model is given by the following formula where R is the reaction time in seconds and N is the number of choices. R = 0.17 + 0.44 log N (b) Express using functional notation the reaction time if there are nine choices. Calculate the reaction time if there are nine choices. (Round your answer to two decimal places.) (c) If the reaction time is to be at most 0.2 second, how many choices can there be? (Round your answer to the nearest whole number.) (d) If the number of choices increases by a factor of 10, what is the difference in the reaction time? (Round your answer to two decimal places.)

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