Question

What is the rate of change from the table below? PLEASE HELP

x y
0. -87
2. -85.8
4. -84.6
6 -83.4

Answer 1

Points are

• (0,-87)
• (2,-85.8)
• (4,-84.6)
• (6,-83.4)

Take 2nd and third points

`\\ \sf\longmapsto m=(y_2-y_1)/(x_2-x_1)`

`\\ \sf\longmapsto m=(-84.6+85.8)/(4-2)`

`\\ \sf\longmapsto m=(1.2)/(2)`

`\\ \sf\longmapsto m=0.6`

Answer 2

• 0.6

Explanation:

The rate of change is the ratio of Δy/Δx, where Δ means the difference between consecutive values.

We name it the slope:

• 
  `m = (y_2-y_1)/(x_2-x_1)`

Use two pairs of x and y values and find the slope:

• 
  `m = (-85.8 - (-87))/(2 - 0) = 1.2/2 = 0.6`