Question

The prep club and honor society are joining forces

Answer 1

Given that the inequalities and that

x ⇒ pep club donations

y ⇒ represent donations raised by the honor society

The inequality is represented by x + y≥ 500

The solution for this is the shaded area above the solid line.

Given x ≥ 100, this is also indicated by the shaded region to the right

What does point (300, 100) represent? is it a viable Solution? why?

The point (300,100) indicates that the contributions made for the pep club were $300 and the donations raised by the honor society were $100.

The point (300,100) is NOT a feasible solution since it does not conform to the gray area of the system of inequalities solution.

To proof the above,

Let x = 300; and y = 100

Plugin in both values in the inequalities we have:

300 + 100 $\ngeq$ 500

400 $\ngeq$ 500 ; Hence it is NOT true; also

300 $\ngeq$ 500.

What does (500, 200) represent? Is it a viable Solution? why?

The point (500,200) indicates that the contributions raised for the pep club were $500 and the donations raised by the honor society were $200.

The point (500,200) IS A possible solution since it falls inside the darkened area of the system of inequalities solution.

To proof the above,

Let x = 500; and y = 200

Plugin in both values in the inequalities we have:

500 + 200 ≥ 500

700 ≥ 500; hence, this is true and it is safe to indicate that the ordered pair satisfies the inequality A.

Conclusion:
The point (500, 200) is a viable solution.

Learn more about inequalities at;
brainly.com/question/24372553
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