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.

Question

Mathematics

Guest

27 July, 08:12

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.

+2

Answers (2)

Know the Answer?

Molly Barajas · Answer 1

Molly Barajas 27 July, 11:04

0

Answer: the answer is b ...

Shaun Brandt · Answer 2

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.