each table represents a linear relationship. Use the slope formula to find the slope or rate change shown in each table.
X
2
6
10
14
Y
8
28
48
68
To find the slope in each table, we can use the slope formula:
Slope = (Y2 - Y1) / (X2 - X1)
Let's calculate the slope for each set of points:
1. (2, 8) and (6, 28):
Slope = (28 - 8) / (6 - 2)
Slope = 20 / 4
Slope = 5
2. (6, 28) and (10, 48):
Slope = (48 - 28) / (10 - 6)
Slope = 20 / 4
Slope = 5
3. (10, 48) and (14, 68):
Slope = (68 - 48) / (14 - 10)
Slope = 20 / 4
Slope = 5
Therefore, the rate of change or slope for each set of points in the table is 5.