Final answer:
A Gantt chart is the most likely tool to show project progress and variances to your boss.
Step-by-step explanation:
The most likely tool you can use to show the progress and variances of your project to your boss is a Gantt chart. A Gantt chart is a bar chart that visually represents the project schedule, showing the start and end dates of each task and the dependencies between them. It allows you to track the progress of each task, identify any delays or variances, and provide a clear timeline for the entire project.