Which table shows a set of ordered pairs that appears to lie on the graph of a linear function?
Accepted Solution
A:
Answer: Table BStep-by-step explanation:The table represents a linear function if the ratio of change in y (∆y) to change in x (∆x) is a constant.A — first two points: ∆y/∆x = (1-2)/(3-0) = -1/3 second two points: ∆y/∆x = (6-1)/(4-3) = 5 ≠ -1/3__B — first two points: ∆y/∆x = (2-(-3))/(4-(-1)) = 5/5 = 1 second two points: ∆y/∆x = (4-2)/(6-4) = 2/2 = 1, the same as for the first points. This is the table that answers the question.__C — first two points: ∆y/∆x = (0-(-2))/(0-(-3)) = 2/3 second two points: ∆y/∆x = (4-0)/(2-0) = 4/2 = 2 ≠ 2/3__D — first two points: ∆y/∆x = (-2-(-7))/(0-5) = 5/-5 = -1 second two points: ∆y/∆x = (2-(-2))/(2-0) = 4/2 = 2 ≠ -1