20
QuizMultiple Choice

Modeling with Functions — Quiz

Question 20 • Mathematics III

Which type of function best models the data in the table? x y 2 4 4 2 6 1 and 1 third 8 1 10 4 fifths

Answer
A
inverse variation
B
logarithmic
C
linear
D
quadratic

Explanation

For an inverse variation, the product of each x-value and its corresponding y-value stays constant. Here, 2 × 4 = 8, 4 × 2 = 8, and the other pairs follow the same pattern: 6 × 1⅓ = 8, 8 × 1 = 8, and 10 × ⅘ = 8. So inverse variation best models the data.

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