Aworldview that holds that we can and should manage the earth for our own benefit but that we also have an ethical responsibility to be caring stewards is called

Stewardship

Explanation:

Stewardship worldviews encourages us to environmentally mange the earth to our benefits and it discourages us from practicing negative environmental activities that will make the earth harmful to it habitat. It bestow upon us an ethical responsibility to be a steward over the earth development and growth.

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