Question

What is the rate of change in this problem? X-1,3,4,6. Y-(-1), 3,5,9.

A) 2
B) 1
C) 4
D) 3

Answer 1

The rate of change in this problem is 2.

Step-by-step explanation:

The rate of change in this problem can be determined by finding the difference in the y-values divided by the difference in the x-values. Let's calculate the rate of change:

1. For the first set of points (1, -1) and (3, 3), the difference in y-values is 3 - (-1) = 4 and the difference in x-values is 3 - 1 = 2. So the rate of change is 4/2 = 2.
2. For the second set of points (3, 3) and (4, 5), the difference in y-values is 5 - 3 = 2 and the difference in x-values is 4 - 3 = 1. So the rate of change is 2/1 = 2.
3. For the third set of points (4, 5) and (6, 9), the difference in y-values is 9 - 5 = 4 and the difference in x-values is 6 - 4 = 2. So the rate of change is 4/2 = 2.

Since the rate of change is consistent at 2 for each set of points, the answer is A) 2.