Question textIf it takes twice as long for a hunter to catch a deer as to catch a beaver, one deer should trade for (write the number) Answer 1 Question 4[input] beavers.

Question

BlackTom AI · Accepted Answer

Twice as long means the deer requires double the hunter’s labor (time) compared with a beaver, so its exchange value should be double.

1) Relevant concepts: When trade is based on the time or effort required to obtain items, value is proportional to labor/time. If one item takes k times as long to produce/catch as another, it should trade for k of the other item.

2) Set up variables and reasoning step-by-step:
- Let t = time to catch one beaver.
- Then time to catch one deer = 2t (given: twice as long).
- If value is proportional to time, the “value” of one beaver is proportional to t, and the “value” of one deer is proportional to 2t.

3) Calculation with intermediate steps:
- Number of beavers equivalent to one deer = (time for deer) / (time for beaver)
- = (2t) / t
- = 2

4) Why this is correct: Because the hunter must spend twice as much time to obtain a deer, obtaining one deer sacrifices the opportunity to catch two beavers in that same total time. Therefore one deer should trade for two beavers to equalize labor/time spent.

5) Why other possible answers are incorrect:
- 1 beaver would imply equal time to catch each (time for deer = t), contradicting “twice as long.”
- 0.5 beaver would imply the deer takes half the time of a beaver, opposite the statement.
- Any number other than 2 would misrepresent the given ratio of times (e.g., 3 would imply deer takes three times as long).

6) Conclusion: Following the proportional-time reasoning, one deer should trade for 2 beavers. This confirms the provided answer: 2.

Question textIf it takes twice as long for a hunter to catch a deer as to catch a beaver, one deer should trade for (write the number) Answer 1 Question 4[input] beavers.多项填空题

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