50 points !! Select the correct answer.

Which table represents the increasing linear function with the greatest unit rate?

A.

x y

2 16

5 10

B.

x y

2 14

6 12

C.

x y

2 -24

5 -15

D.

x y

2 -12

6 -16

E.

x y

2 -19

6 -17

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Answer:C.

x y

2 -24

5 -15

Step-by-step explanation:We need to find the slope for each table

A.

x y

2 16

5 10

m = (y2-y1)/(x2-x1) = (10-16)/(5-2) = -6/3 = -2

B.

x y

2 14

6 12

m = (y2-y1)/(x2-x1) = (12-14)/(6-2) = -2/4 = -1/2

C.

x y

2 -24

5 -15

m = (y2-y1)/(x2-x1) = (-15–24)/(5-2) = (-15+24)/3 = 3

D.

x y

2 -12

6 -16

m = (y2-y1)/(x2-x1) = (-12–16)/(6-2) = (-12+16)/4 = 1

E.

x y

2 -19

6 -17

m = (y2-y1)/(x2-x1) = (-17–19)/(6-2) = (-17+19)/4 = 1

The greatest unit rate is the largest slope

C. X y 2-24 5-15 is all of the answers that are correct