Question

find the rate of change represented by the data in the table below.
x| 0 2 4 6 8
y| 4 3 2 1 0
is the rate of change positive or negative?
a) positive b) negative
rate of change: (change in y)/(change in x)

Explanation:

Step1: Calculate change in y

Take two points, e.g., (0,4) and (2,3). Change in y: \(3 - 4 = -1\)

Step2: Calculate change in x

Change in x: \(2 - 0 = 2\)

Step3: Find rate of change

Rate of change: \(\frac{-1}{2}=-\frac{1}{2}\)

Step4: Determine sign

Since the rate of change is \(-\frac{1}{2}\), it is negative.

Answer:

b) negative