Which linear inequality is represented by the graph? y < 3x + 2 y > 3x + 2 y < 1/3x + 2 y > 1/3x + 2

is represented in the graph.

Step-by-step explanation:

To find the linear inequality for the shown graph.

Steps:

Finding the equation of dotted line shown in the graph.

Equation of line is given by

where is slope of line and is y-intercept.

Given points:

Slope of the line

∴

From the given points we can see that point of y-intercept is given i.e. the point where the line intersects the y-axis  

∴

So equation of line:

Since the shaded area in the graph is above the line and the line is dotted this means that is greater than the equation of line.

So, the inequality can be given as:

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.