A large engineering firm offers its employees paid time off to volunteer in the community, with a company goal of more than 150 volunteer hours per week. Employees can sign up for a shorter 2-hour volunteer slot or a longer 3-hour volunteer slot each week.

Which graph represents how many shorter slots, x, and longer slots, y, the company needs to fill each week?

The graph that represents the number of shorter slots, x, and longer slots, y, the company needs to fill each week would be a scatter plot with x and y representing the number of slots.

The x-axis would represent the number of shorter slots filled each week and the y-axis would represent the number of longer slots filled each week.

The points on the graph would represent the different combinations of shorter and longer slots filled each week, with the goal being to fill more than 150 slots in total. The company could set a target ratio of shorter to longer slots and aim for points that fall along a line with that ratio.

The graph would show the different combinations of slots that employees sign up for each week and could help the company track its progress towards reaching its goal of more than 150 volunteer hours per week.