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
Question
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