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24 February, 22:13

The weights and heights of six mathmatics students are given in the following table: Weight (in pounds) Height (in centimeters) 165 172 123 157 212 183 175 178 165 163 147 167 State whether height is a function of weight for the six students and explain. a. Yes, height is a function of weight because two students weigh 165 pounds but have different heights. b. No, height is not a function of weight because two students weigh 165 pounds but have different heights. c. Yes, height is a function of weight because for each weight there is a corresponding height. d. No, height is not a function of weight because there is not enough data to determine a function.

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  1. 24 February, 22:18
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    Answer: the answer is b ...
  2. 24 February, 22:23
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    Correct asnwer is: b) No, height is not a function of weight because two students weigh 165 pounds but have different heights.

    Solution:-

    The definition of a function is for every input, function must have a unique output.

    Here weight is input and height is output.

    So for input=weight = 165 pounds, we have 2 values of output that is 172cm and 163cm.

    Hence height is not a function of weight.
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