Final answer:
The Budget of a project is likely to increase if both the Time and Scope of the project increase due to the interconnected nature of project management constraints.
Step-by-step explanation:
When the Time of a project increases and the Scope of a project increases, it is reasonable to assume that the Budget will also increase. This assumption is based on the known relationship between the three constraints of project management, often referred to as the project management triangle: scope, time, and cost. Any changes to one side of the triangle typically lead to adjustments in the others.
For example, if a project's scope is expanded, more tasks may need to be completed, which could require additional resources and more time. As a consequence, the costs associated with those resources and additional time would likely increase the project budget. Similarly, increasing the time could mean that the project incurs additional indirect costs, such as administrative overheads or extended use of equipment, which again would contribute to an increased budget.