Two cars drive on the same highway in the same direction. The graphs show the distance, \(d\), of each car as a function of time, \(t\). Which car drives faster? Explain how you know.

Two car services offer to pick people up and take them to their destinations. Service A charges 40 cents to pick up and 30 cents for each mile of the trip. Service B charges $1.10 to pick up and \(c\) cents for each mile of the trip.

1. Match the services to the lines \(\ell\) and \(m\).
2. For Service B, is the additional
   charge per mile greater or less than
   30 cents per mile of the trip?
   Explain your reasoning.

Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran’s house is slightly closer to school than Clare’s house is. On a graph, their distances (in meters) from their homes is a function of the time (in seconds) from when they begin the race.

1. As you read the graphs left to right, would the lines go up or down?
2. What is different about the lines representing Kiran’s run and Clare’s run?
3. What is the same about the lines representing Kiran’s run and Clare’s run?

Write an equation for each line.

Five lines. Line a, horizontal through ( 0 comma negative 2 ). Line e through ( 0 comma 5 ) and ( 1 comma 7 ). Line d through ( 0 comma 5 ) and ( 1 comma 2 ). Line c through ( 0 comma negative 5 ) and ( 5 comma 4 ). Line b, vertical, through ( 5 comma 0 ).