The organizer of a conference needs to prepare at least 200 notepads for the event and has a budget of \$160 for the notepads. A store sells notepads in packages of 24 and packages of 6.

This system of inequalities represents these constraints: \(\begin{cases} 24x+6y\geq200\\16x + 5.40y\leq160 \end{cases}\)

1. Explain what the second inequality in the system tells us about the situation.

2. Here are incomplete graphs of the inequalities in the system, showing only the boundary lines of the solution regions.

   Which graph represents the boundary line of the second inequality?

   

   A system of inequalities graphed on a coordinate plane, origin O. Horizontal axis, number of large packages, scale from 0 to 12, by 2’s. Vertical axis, number of small packages, scale from 0 to 40, by 4’s. First line starts on vertical axis at approximately 33, goes through approximately 4 comma 18 and ends on the horizontal axis at about 8. Second line starts on vertical axis at approximately 29, goes through approximately 4 comma 18 and ends on the horizontal axis at about 10.

3. Complete the graphs to show the solution set to the system of inequalities.

4. Find a possible combination of large and small packages of notepads that the organizer could order.