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The graph that plots Net Present Values (NPVs) of a project against various discount rates is known as the NPV profile. This graphical representation allows decision-makers to visualize how the value of a project changes with different discount rates, which reflect the time value of money and the project's risk profile.

The NPV profile is particularly valuable because it helps in comparing the attractiveness of different investment projects at various costs of capital. By analyzing the shape and slope of the NPV profile, stakeholders can identify the rate at which the project becomes unviable (the break-even point) and assess how sensitive the project's value is to changes in the discount rate.

In contrast, other terms such as Project tract, Projected risk profile, and NPV route do not accurately describe this specific type of graph and its established use in finance for evaluating investment projects. Therefore, the NPV profile is the correct and accepted term in financial analysis.