19
QuizMultiple Choice

Modeling with Functions — Quiz

Question 19 • Mathematics III

Jordan uses a linear equation to model the data in a table. Which reasoning might Jordan have used in the decision to model the data with a linear equation?

Answer
A
The products of corresponding x - and y -values are equal.
B
The y -values are the reciprocals of the corresponding x -values.
C
The change in y -values is constant for evenly spaced x -values.
D
The ratios of consecutive y -values are equal for evenly spaced x -values.

Explanation

A linear relationship has a constant rate of change: equal changes in x produce equal changes in y. So if the x-values are evenly spaced and the y-values change by the same amount each time, that supports using a linear equation. The other choices describe different patterns, such as reciprocal or exponential relationships.

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