The most likely change over time for the meteorite crater in northeastern Arizona is:
D) It will become less deep as the rim erodes.
Over time, natural processes such as weathering and erosion will gradually wear down the crater's walls and rim, leading to a reduction in its depth. The flat and arid environment will contribute to these processes, but water filling the crater is less likely given the arid conditions. The other options involving water or lava do not apply to a meteorite crater.