The rate of change of the following data is A. 4
How to solve
We can calculate the rate of change using the slope formula:
Rate of change = (y2 - y1) / (x2 - x1)
Using the first two data points:
Rate of change = (5 - (-7)) / (2 - (-1)) = 12 / 3 = 4
Using the second two data points:
Rate of change = (25 - 5) / (7 - 2) = 20 / 5 = 4
Using the last two data points:
Rate of change = (37 - 25) / (10 - 7) = 12 / 3 = 4
Since all calculations yield the same result, the rate of change for the data is 4.
Therefore, the answer is A) 4.
The Complete Question
Calculate the rate of change for the following data:
[x] [y]
-1 -7
2 5
7 25
10 37
A) 4. B) 2. C) 12.