Question

1. which description best represents the graph shown?

a people are waiting for a train. a train comes and some people get on. the other people wait for the next train. as time goes by, people gradually leave the station.
b one train arrives and some people get off the train and wait in the station.
c people are waiting for a train. everyone gets on the first train that comes.
d people are waiting for a train. a train comes and some people get on the train. the other people wait for the next train. another train arrives and all of the remaining people get on.

3-6 sketch functions from verbal descriptions 205

Explanation:

To determine the correct description, we analyze the graph's behavior (stair - step with increasing total people) and each option:

• Option A: Mentions people gradually leaving, but the graph shows an increase in total people over time, so A is incorrect.
• Option B: States some people get off and wait, but the graph does not show a decrease in total people (which would happen if people got off and stayed), so B is incorrect.
• Option C: Says everyone gets on the first train, but the graph has multiple increases, implying multiple trains with people getting on each, so C is incorrect.
• Option D: Describes people waiting, a train arrives with some getting on, others wait for the next train, and when the next train arrives, all remaining get on. This matches the graph's multiple - step increase (each step representing a train arrival and people getting on).

Answer:

D. People are waiting for a train. A train comes and some people get on the train. The other people wait for the next train. Another train arrives and all of the remaining people get on.