The Bible also gives tips for selling your daughter and says that you can’t wear clothes made of two different fabrics.
This is an excuse too often used for our senseless slaughter of God’s creatures. What I think is more interesting is actually that this excuse is based on an interpretation of scripture that is neither based on the text or compliant with the interpretation of the peoples who wrote it in the first place. The word used in Genesis which is רָדָה (rādâ) which can be translated as dominion, or to rule but it is a context dependent verb with primitive root meaning. This suggests that the context of the verb defines the nature of the rādâ. In some portions of scripture it implies a harsh or violent rule as is made evident by context. In genesis the word is framed by the paradise of eden and the God decreed blessing of all creatures in their own kind. Thus, rādâ has a softened meaning and implies a rulership that reflects that of God’s rulership. At this point in the story the only example of rulership is that of God himself, the sun, and the moon. The sun and moon however are given “dominion” in the word מֶמְשָׁלָה (memshālâ) which is a feminine noun rather than a verb and implies a realm or dominion, day if you will. So, the sun and moon aside we can turn to God as our example of rulership. Nico Vorster puts it this way: “The mandate to rule is furthermore given within the context that the human is created as image of God. This indicates that the mandate cannot be interpreted as establishing a right to exploitation, since the human’s image-bearing implies that the human has to act in a way that mirrors divine responsibility.”
As is turns out interpreting “dominion” to mean a steward’s rule is not a modern interpretation. The jewish interpretation has leaned in that direction for a long, long time. Most of the sources that I can find would suggest that it was the interpretation of early rabbis that our dominion was one of stewardship. A loving and God centered rule of creation. While it would remain true that we are not ruled by the other creatures, we are ruled by God and we are expected to reflect Him in our rule which is yet below Him.
In short, do not say that we have dominion over animals and thus we can do as we please, rather, we have dominion therefore we have an obligation to serve them as God has served and ruled us.