Question

Is the volume of water increasing or decreasing here? What is its rate of increase or decrease in liters per hour? Coordinate plane with x-axis labeled Number of Hours and y-axis labeled Volume in Liters. Graph of a line contains the following points: (1, 2) and (3, 1.5)

Answer 1

Answer: The volume is decreasing here .

The rate of change = -0.25

Step-by-step explanation:

Given: In a graph , coordinate plane with x-axis labeled Number of Hours and y-axis labeled Volume in Liters.

The graph of a line contains the points: (1, 2) and (3, 1.5)

From the points, change in volume = change in y

⇒ Change in volume =$y_2-y_1=1.5-2=-0.5$

Change in time = change in x

⇒ Change in hours= $x_2-x_1=3-1=2$

The rate of change for a graph is given by:-

$\text{The rate of change }=\frac{\text{change in y}}{\text{change in x}}=\frac{-0.5}{2}\\\Rightarrow\text{The rate of change }= -0.25$

Since, the rate of change is negative , therefore, the volume of water decreases.