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: Identify change in x and y

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

Step2: Calculate rate of change

Rate of change = $\frac{\Delta y}{\Delta x}$ = $\frac{-1}{2}$ = -0.5. Since the rate is -0.5 (negative), the rate of change is negative.

Answer:

b) negative