24
QuizMultiple Choice

Topic Test

Question 24 • 2026-27 Mathematical Models with Applications

The weights and heights of six mathematics 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 weight is a function of height for the six students and explain.

Answer
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, weight is a function of height because for each value of height there is one corresponding value of weight.
D
No, weight is not a function of height because there is not enough data to determine a function.

Explanation

Weight is a function of height if every height corresponds to exactly one weight. The six heights are 172, 157, 183, 178, 163, and 167 centimeters; each appears once and has one corresponding weight. Therefore, weight is a function of height, as choice c states.

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