2. What is g(6)and what does it represent in the context of this example?

Answer:
g(x) = 30
Step-by-step explanation:
Let the function representing line in graph 2 is,
g(x) = mx + b
Here m = slope of the line
b = y-intercept
Since the given line passes through origin (0, 0), y-intercept of the function will be 0.
Slope of the line = [tex]\frac{\triangle y}{\triangle x}[/tex]
= [tex]\frac{10}{2}[/tex]
= 5
Therefore, function will be g(x) = 5x
For x = 6,
g(6) = 30
This function represents that height of liquid in the cylinder is directly proportional to the amount of liquid poured in the cylinder.