For your rock collection display, you want to have at most 25 samples.
you want to have at least 3 times as many sedimentary samples as
metamorphic samples.
write and graph a system of inequalities to model the situation.

The graph is attached.

Step-by-step explanation:

Let be "x" the number of metamorphic samples and "y" the number of sedimentary samples.

You know that you want to  to have at most 25 samples, then:

And you want to have at least 3 times as many sedimentary samples as

metamorphic samples, then:

Therefore, the system of  inequalities that model the situation is:

The y-intercept of the line is:

And the x-intercept is:

Knowing this, you can graph the line

The y-intercept of the line is:

And the x-intercept is:

Knowing this, you can graph the line.

Observe the graph attached, where the solution of the system of inequalities is the intersection of the regions.

answer:      

step-by-step explanation: