rag each object to show whether distance is proportional to time in the situation represented.
A person running down
a field to score a touchdown
A dog jogging at a constant
speed for 20
minutes
Line graph with line that starts at origin but does not remain straight.
Distance
(mi) Time
(hr)
15 4
30 8
45 12
A horse running
around a race track
A truck passing through
4
cities at a constant speed
Distance Is Proportional to Time
Distance Is NOT Proportional to Time
Not Enough Information
- A person running down a field to score a touchdown: Not enough information (we would need to know the time it took the person to run the distance to determine if distance is proportional to time)
- A dog jogging at a constant speed for 20 minutes: Distance is proportional to time
- Line graph with line that starts at origin but does not remain straight: Not enough information (we would need to know what the graph represents, such as the speed of an object over time, to determine if distance is proportional to time)
- A horse running around a race track: Distance is proportional to time
- A truck passing through 4 cities at a constant speed: Distance is proportional to time
A person running down a field to score a touchdown:
- Distance is proportional to time. The faster the person runs, the shorter the time it takes to reach the touchdown.
A dog jogging at a constant speed for 20 minutes:
- Distance is proportional to time. As the dog maintains a constant speed, the distance covered will be directly proportional to the time elapsed.
Line graph with a line that starts at the origin but does not remain straight:
- Not enough information. The description does not provide any specific details about the relationship between distance and time. Without additional information, it is not possible to determine if distance is proportional to time.
A horse running around a racetrack:
- Distance is proportional to time. The horse will cover a greater distance as more time passes, assuming it maintains a constant speed.
A truck passing through 4 cities at a constant speed:
- Distance is proportional to time. As the truck maintains a constant speed, the distance covered will be directly proportional to the time elapsed.