Final answer:
The decline of 500-mb temperatures with increasing latitude is accompanied by a decrease in the altitude of the 500-mb surface due to denser, colder air.
Step-by-step explanation:
As we move poleward (or toward the poles) from the equator, the general decline of 500-mb temperatures is typically associated with a decrease in the altitude of the 500-mb surface. This is because temperature is one of the factors that affect the thickness of the atmospheric layers. Colder temperatures result in denser air and a lower altitude of pressure surfaces like the 500-mb level.
The concept can be likened to the slope of a line on a graph. If the slope becomes steeper, the line rises more quickly, while a flatter slope indicates a less rapid rise. In the context of the 500-mb level, as we go toward higher latitudes with colder temperatures, the thickness between pressure levels in the atmosphere decreases, resulting in a lower altitude for the same pressure level.