Which table represents a direct variation function?a.Input (x)23456Output (y)7891011b.Input (x)246810Output (y)-3-5-6-7-8c.Input (x)-5-4-3-2-1Output (y)108642d.Input (x)-21012Output (y)-3-3-3-3-3is it a?
Accepted Solution
A:
Answer:Option C is correct.Step-by-step explanation:A direct variation function isy/x = ki.e. we can say that the ratio of y and x is equal to a constant value k.We will check for each Option given.Option A 7/2 = 7/28/3 = 8/39/4 = 9/410/5 = 211/6 = 11/6Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant Option B-3/2 = -3/2-5/4 = -5/4-6/6 = -1-7/8 = -7/8-8/10 = -4/5Option B is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant Option C10/-5 = -28/-4 = -26/-3 = -24/-2 = -22/-1 = -2Option C is correct as y/x = k as ratio of y/x for each value in table c is equal to constant value -2Option D-3/-2 = 3/2-3/1 = -3-3/0 = 0-3/1 = -3-3/2 = -3/2Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant .SO, Option C is correct.