Question

the graph shows the relationship between the volume of the water in the cylinder, and the height of the water in the cylinder. what is the slope of this line? slope =

Explanation:

Step1: Identify two points on the line

From the graph, we can see two clear points: when \( V = 200 \) (volume), \( h = 2 \) (height), and when \( V = 300 \), \( h = 3 \). So the two points are \((200, 2)\) and \((300, 3)\).

Step2: Use the slope formula

The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Here, \( x \) represents volume (\( V \)) and \( y \) represents height (\( h \)). Let \((x_1,y_1)=(200, 2)\) and \((x_2,y_2)=(300, 3)\). Then:
\( m=\frac{3 - 2}{300 - 200}=\frac{1}{100} = 0.01 \)

Answer:

\( 0.01 \) (or \(\frac{1}{100}\))