what is the rate of change
x y
2 29000
4 26000
7 21500
12 14000
To find the rate of change, we need to calculate the change in y divided by the change in x.
Change in y = final y value - initial y value
Change in x = final x value - initial x value
Using the given data:
Change in y1 = 26000 - 29000 = -3000
Change in x1 = 4 - 2 = 2
Rate of change1 = Change in y1 / Change in x1 = -3000 / 2 = -1500
Change in y2 = 21500 - 26000 = -4500
Change in x2 = 7 - 4 = 3
Rate of change2 = Change in y2 / Change in x2 = -4500 / 3 = -1500
Change in y3 = 14000 - 21500 = -7500
Change in x3 = 12 - 7 = 5
Rate of change3 = Change in y3 / Change in x3 = -7500 / 5 = -1500
The rate of change is constant for all intervals and is equal to -1500.