Question

name ________________________________ hr ___ 6.4 analyzing functions as graphs

1. which description best represents the graph shown?

ⓐ 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.
ⓑ one train arrives and some people get off the train and wait in the station.
ⓒ people are waiting for a train. everyone gets on the first train that comes.
ⓓ 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.

1. aunt fuadina’s honda fuadyssey is low on gas. she drives to the gas station to fill up her tank. then she drives back home. sketch the graph the shows the relationship between the amount of fuel in the gas tank and time.
2. daufidino starts at his house and rides his bike to 10 minutes to a friend’s house. he stays there for 50 minutes. it then takes him 10 minutes to bike the same route back home.

Explanation:

Question 1

The graph shows 3 flat segments: initial total people, then a drop (some leave), then another drop, then 0 people. This matches two trains picking up remaining people fully.

1. Start at low, constant fuel while driving to station (fuel decreases slowly).
2. Sharp upward jump when filling the tank to full.
3. Slow downward decrease while driving home until reaching the starting fuel level (or slightly lower, as driving uses fuel).

1. First 10 minutes: distance increases from 0 to the friend's house.
2. 10-60 minutes (50 minutes): distance stays constant (staying at friend's).
3. 60-70 minutes: distance decreases back to 0 (riding home).

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.

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Question 2