Question

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

Answer 1

g(x) = 30

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 =
`(\triangle y)/(\triangle x)`

=
`(10)/(2)`

= 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.