Question

Compare the rates of change of the following items

Answer 1

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

$\dfrac{b_2-b_1}{a_2-a_1},$

where $(a_1,b_1)$ and $(a_2,b_2)$ are two points on the line.

Item I:

$(a_1,b_1)=(0,2)\\ \\(a_2,b_2)=(2,2)$

Then the rate of change is

$\dfrac{2-2}{2-0}=\dfrac{0}{2}=0$

Item II:

Chosse two points the line passes through. For example, (0,-3) and (1,-3).

$(a_1,b_1)=(0,-3)\\ \\(a_2,b_2)=(1,-3)$

Then the rate of change is

$\dfrac{-3-(-3)}{1-0}=\dfrac{0}{1}=0$

Hence, the rate of change of item I is equal to the rate of change of item II.