For certain decisions, the time it takes to respond is a function of the number of choices faced. The relationship is

,

where R is reaction time in seconds, and N is the number of choices.A: Express using functional notation the reaction time if there are 8 choices. Then calculate that value. Round your answer to one decimal place if necessary. B: Make a graph of R versus N. Include up to 10 choices.C:  Is the graph concave up or concave down? Explain in practical terms what the concavity of the graph means.

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What will be an ideal response?


A: In functional notation the reaction time is . The value is 0.5 seconds.

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B:  

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C: The graph is concave down.  Additional choices make more difference in reaction time when there are fewer choices available.

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Mathematics

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