Answer:
Part a) The graph in the attached figure
Part b) see the explanation
Part c) see the explanation
Step-by-step explanation:
Let
x ----> represent pep club donations
y ---> represent donations raised by the honor society
we have
----> inequality A
The solution of the inequality A is the shaded area above the solid line
----> inequality B
The solution of the inequality B is the shaded area at right of the solid line
Part a) Graph the system of inequalities
using a graphing tool
The solution of the system of inequalities is the shaded area
Remember that the variables x and y cannot be a negative number
see the attached figure
Part b) What does the point (300,100) represent? Is it a viable solution?
The point (300,100) means that the donations raised for pep club was $300 and the donations raised by the honor society was $100
The point (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities
<u><em>Verify</em></u>
If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality
For x=300, y=100
<em>Inequality A</em>
----> is not true
The ordered pair not satisfy the inequality A
therefore
The point (300,100) is not a viable solution
Part c) What does the point (500,200) represent? Is it a viable solution?
The point (500,200) means that the donations raised for pep club was $500 and the donations raised by the honor society was $200
The point (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities
<u><em>Verify</em></u>
If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality
For x=500, y=200
<em>Inequality A</em>
----> is true
The ordered pair satisfy the inequality A
<em>Inequality B</em>
---> is true
The ordered pair satisfy the inequality B
therefore
The point (500,200) is a viable solution
