Praxis 5003 Practice Test Practice Question
A linear relationship between the quantities x and y is represented in the preceding table for certain values of x. Which of the following equations models the relationship between x and y?
Correct Answer: B
Rationale: The equation y = 2/3x + 9 accurately represents the linear relationship by indicating that for every increase of 3 units in x, y increases by 2 units, which aligns with the data in the table.
Option A (y = 3/2x + 9) suggests a steeper slope, indicating a larger increase in y for a given increase in x, which does not match the data.
Option C (y = -3/2x + 9) implies a negative relationship, where y decreases as x increases, contradicting the observed trend.
Option D (y = -2/3x + 9) also indicates a negative slope, further misrepresenting the relationship shown in the table.
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