Answer:
B. The rate of change of item I is equal to the rate of change of item II.
Step-by-step explanation:
The rate of change can be calculated using formula
[tex]\dfrac{b_2-b_1}{a_2-a_1},[/tex]
where [tex](a_1,b_1)[/tex] and [tex](a_2,b_2)[/tex] are two points on the line.
Item I:
[tex](a_1,b_1)=(0,2)\\ \\(a_2,b_2)=(2,2)[/tex]
Then the rate of change is
[tex]\dfrac{2-2}{2-0}=\dfrac{0}{2}=0[/tex]
Item II:
Chosse two points the line passes through. For example, (0,-3) and (1,-3).
[tex](a_1,b_1)=(0,-3)\\ \\(a_2,b_2)=(1,-3)[/tex]
Then the rate of change is
[tex]\dfrac{-3-(-3)}{1-0}=\dfrac{0}{1}=0[/tex]
Hence, the rate of change of item I is equal to the rate of change of item II.
