Final answer:
Liz runs the fastest.
Step-by-step explanation:
In order to determine who runs the fastest, we need to compare the speeds of each runner. Noah runs at a rate of 15 feet per second, Liz runs 530 feet in 49 seconds, Debbie runs 1 mile in 456 seconds, and Katie runs 764 feet in 1 minute. To compare these speeds, we need to convert them into a consistent unit. Converting all the speeds into feet per second, we find that Noah runs at 15 feet per second, Liz runs at approximately 10.81 feet per second, Debbie runs at approximately 13.08 feet per second, and Katie runs at 12.73 feet per second. Therefore, Liz runs the fastest.