Chapter 6.8, Problem 44STP

(a)

To determine

To write:a system of inequalities to represent the credentials

Answer to Problem 44STP

Therefore,a system of inequalities to represent the grade point is

  $c\ge 20$ and $g\ge 3.75$

  $c\ge 40$ and $g\ge 3.0$

Explanation of Solution

Given:

Community service = $20hours$

Grade point average = $3.75$ .

Community service = $40hours$

Minimum grade point average = $3.0$ .

Calculation:

The system will be as below:

  $c\ge 20$ and $g\ge 3.75$

  $c\ge 40$ and $g\ge 3.0$

Conclusion:

Therefore,a system of inequalities to represent the grade point is

  $c\ge 20$ and $g\ge 3.75$

  $c\ge 40$ and $g\ge 3.0$

(b)

To determine

To graph:the given inequalities.

Answer to Problem 44STP

Thus, the graph of inequalities is:

  

Explanation of Solution

Calculation:

The graph of the system can be drawn as below:

  

Conclusion:

Thus, the graph of inequalities is drawn.

(c)

To determine

To give: one possible solution.

Answer to Problem 44STP

Therefore, $40$ Community services hours and a $3.75$ grade points average.

Explanation of Solution

Calculation:

The strategy is to give one possible solution, if eligible for both scholarships.

One sample answer is:

  $40$ Community service hours and a $3.75$ grade points average

Conclusion:

Therefore, $40$ Community services hours and a $3.75$ grade points average.