[b][size=200][color=#ff7700]Problem 1[/color][/size][/b]
If [math]s[/math] represents the number of scarves sold and [math]h[/math] represents the number of hats sold, which system of equations represents the constraints in this situation?
[b][size=200][color=#ff7700]Problem 2[/color][/size][/b]
[size=150]Equation 1: [math]6x+4y=34[/math][br]Equation 2: [math]5x-2y=15[/math][/size][br][br]Decide whether the [math](3,4)[/math] pair is a solution to one equation, both equations, or neither of the equations.[br]
Decide whether the [math](4,2.5)[/math] pair is a solution to one equation, both equations, or neither of the equations.[br][br]
Decide whether the [math](5,5)[/math] pair is a solution to one equation, both equations, or neither of the equations.[br]
Is it possible to have more than one [math](x,y)[/math] pair that is a solution to both equations? Explain or show your reasoning.
[b][size=200][color=#ff7700]Problem 3[/color][/size][/b]
[size=150]Explain or show that the point [math](5,-4)[/math] is a solution to this system of equations:[/size][br][math]\begin{cases} 3x-2y=23 \\ 2x+y=6 \\ \end{cases}[/math]
[size=200][color=#ff7700][b]Problem 4: Remembering Graphs[/b][/color][/size]
[list][*]The oldest sibling begins at the start line of the race and runs 7 miles per hour the entire time.[/*][*]The middle sibling begins at the start line and walks at 3.5 miles per hour throughout the race.[/*][*]The youngest sibling joins the race 4 miles from the start line and runs 5 miles per hour the rest of the way.[/*][/list]