The graph below represents which system of equalities ?

The solid line has a rise of 2 for each unit of horizontal run, so has a slope of 2. It crosses the y-axis at -2, so has equation y = 2x-2. The shading is below that line, so represents the solution to y ≤ 2x - 2.

The dashed line has a "rise" of -1 for each unit of horizontal run, so has a slope of -1. It crosses the y-axis at +3, so has equation y = -x + 3. The shading is above that line so represents the solution to y > -x+3.

These two inequalities are seen in the 3rd selection.

... y ≤ 2x - 2

... y > -x + 3

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.