Question

What is the rate of change between these two points? (16, 2) and (14, 7)

A. 2/5
B. 5/2
C. - 2/5
D. -5/2

Answer 1

The rate of change between the points (16, 2) and (14, 7) is -5/2.

Step-by-step explanation:

To find the rate of change, also known as the slope, between two points (x1, y1) and (x2, y2), we use the formula:

Slope = (y2 - y1) / (x2 - x1)

In this case, the two points are (16, 2) and (14, 7). Plugging the values into the formula, we get:

Slope = (7 - 2) / (14 - 16)

Slope = 5 / -2

The rate of change between the two points is therefore -5/2, which is option D.