Question

1. is bauxite a renewable or nonrenewable resource? why?

no, it is not renewable because it is man - made.
yes, it is a renewable resource because humans can recycle aluminum.
no, it is not renewable because no more new bauxite will be made by natural processes during human lifetimes.
yes, it is a renewable resource because it comes from the earth.

Explanation:

Bauxite is a mineral ore. Non - renewable resources are those that form over extremely long geological time scales (millions of years). Since bauxite is formed by natural geological processes that occur over time frames much longer than human lifetimes, it is non - renewable.
Recycling aluminum (a product made from bauxite) does not make bauxite itself renewable. Also, bauxite is a natural resource, not man - made. And just coming from the Earth does not make a resource renewable.

Answer:

No, it is not renewable because no more new Bauxite will be made by natural processes during human lifetimes.