The best response to your question about which prediction shows what the population could look like after many generations, along with the reasoning behind the change, is:
a Prediction 1 is best. Two brown or gray foxes had a baby with a mutation in its genes for the white-fur trait. Because white foxes are more likely to survive, that baby survived long enough to pass on its mutation, so the white-fur trait became more common over generations.
This option correctly identifies that the change in population dynamics is due to the advantages of having white fur in a snowy environment, leading to increased survival rates for individuals with that trait. Over generations, this trait can become more common in the population through natural selection.