Question

Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the number of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 5) and (3, 1). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 5) and (3, 1). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 1) and (0, negative 5). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 1) and (0, negative 5). Everything to the right of the line is shaded.

Answer 1

Let x = number of loaves and y = number of reservations. The inequality is

2x − y > 5.

Rewriting gives the boundary line y = 2x − 5 (dashed because the inequality is strict). Solving for x gives x > (y + 5)/2, so the half-plane to the right of that line is shaded.

That matches the first graph: the dashed line through (0, −5) and (3, 1) with everything to the right shaded.