Question

problems 1-3: a group of students are timed while sprinting 100 meters.

1. is speed a function of time? explain your thinking.
2. is distance a function of time? explain your thinking.

(there is a chart below with time (seconds) and distance (meters) or speed (meters per second) data, but the specific data is partially unclear, with some visible numbers like 13.8, 15.9, 16.3, 17.1, 18.2 for time and corresponding speed or distance values.)

Explanation:

1. For speed as a function of time: A function requires each input (time) to have exactly one output (speed). Looking at the table, each unique time value maps to exactly one speed value, with no repeated times having different speeds.
2. For distance as a function of time: A function requires each input (time) to have exactly one output (distance). Looking at the table, each unique time value maps to exactly one distance value, with no repeated times having different distances.

Answer:

1. Yes, speed is a function of time. Each time value has exactly one corresponding speed value, satisfying the definition of a function.
2. Yes, distance is a function of time. Each time value has exactly one corresponding distance value, satisfying the definition of a function.