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adelina 88 [10]
3 years ago
6

For your rock collection display, you want to have at most 25 samples.

Mathematics
1 answer:
mezya [45]3 years ago
6 0

Answer:

\left \{ {y\leq 25-x} \atop {y\geq 3x}} \right.

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:

y\leq 25-x

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

metamorphic samples, then:

y\geq 3x

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

\left \{ {y\leq 25-x} \atop {y\geq 3x}} \right.

The y-intercept of the line y=25-x is:

y=25-(0)\\\\y=25

And the x-intercept is:

0= 25-x\\\\x=25

Knowing this, you can graph the line

The y-intercept of the line y= 3x is:

y=3(0)\\\\y=0

And the x-intercept is:

0= 3x\\\\x=0

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.

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Step-by-step explanation:

For example:

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