Add Stated Edge Costs

Supplied materials

• Paper and pencil; answers may also be spoken or typed.
• All cases, labels, numbers and rules are supplied on this page. No real account, private information or purchase is needed.

Learn the idea

A weighted route has a total cost equal to the sum of its edge costs under this additive model. The fewest-edge route can have a larger cost than another route. State the metric, such as minutes or energy units, before comparing paths; different metrics can favor different choices.

Add edge costs along the supplied route, using one stated cost unit. Count of edges is not the same as sum of weighted costs.

Use this supplied case: Route has three edge costs 2,4,3 minutes. Total modeled time? The task is to connect the given information to the computing idea. Write a short evidence trail so another learner can reproduce your choice. The simplified case describes the stated model, not every real system.

1. Represent the supplied worked case with a labeled drawing, table or short trace.
2. Add edge costs along the supplied route, using one stated cost unit.
3. Explain why the worked answer fits and why one alternative does not.
4. Try the new check and practice cases; revisit the stated rule if your evidence does not match.

Check your reasoning

Your answer is temporary and is not saved to an account. Download your current answer before leaving or reloading. Written work on paper or in another app stays in your own file.

Take it further

Paths P-Q-R cost 4+9=13 minutes and P-S-T-R cost 3+2+5=10. Expected: the three-edge path is cheaper despite more hops.

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