Question

Today, Alonso walked 1 mile in 0.5 hours.

Assume he continues at this pace, complete the table in the interactive, and graph the relationship. From the graph, which of the following are true? Check all that apply.
The line passes through the origin.
The relationship is proportional.
Alonso walks 0.5 miles per hour.
There is no constant of proportionality.

Answer 1

Check the first two only.

- The line passes through the origin — True (at time 0 distance = 0).
- The relationship is proportional — True (distance = k · time).

Compute the constant: 1 mile / 0.5 hour = 2 miles/hour, so the equation is distance = 2 · time.
- "Alonso walks 0.5 miles per hour." — False (he walks 2 mph).
- "There is no constant of proportionality." — False (the constant is 2).