Final answer:
Sediment cores from the ocean floor support the concept of seafloor spreading by showing layers of progressively younger sediments as they approach mid-ocean ridges.
Step-by-step explanation:
Sediment cores from the ocean floor support the concept of seafloor spreading by providing evidence of progressively younger sediments as they approach mid-ocean ridges. These sediment cores contain layers of different types of sediments that have been deposited over time.
The layers of sediment get younger as they approach the mid-ocean ridges, which confirms the process of seafloor spreading.