Graph Analysis Assignment

Which car drives faster according to the graph?

• Car A

• Car B

• Both cars drive at the same speed

• Cannot be determined

Two cars drive on the same highway in the same direction. The graphs show the distance of each car as a function of time, t. What does the variable 'd' represent in the graph for the cars?

• Time

• Distance

• Speed

• Cost

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. What does the variable 't' represent in the graph for the cars?

• Time

• Distance

• Speed

• Cost

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. What is the slope of the line representing Car B indicative of?

• Initial distance

• Speed of Car B

• Time taken by Car B

• Cost of Car B

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. What would be the same about the lines representing Kiran’s run and Clare’s run on the graph?

• The distance

• The slope

• The time

• The direction

Write an equation for the line labeled 'd'.

Write an equation for the line labeled 'e'.

• y = 2x - 3

• y = -x + 5

• y = 2x + 5

• y = 3x + 2

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. Match the services to the lines l and m.

Service A - ​ ​ (a)  

Service B - ​ (b)  

• line m
• line l

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. For Service B, is the additional charge per mile greater or less than 30 cents per mile of the trip?

• greater

• less

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. At how many miles would it be the same cost for both Service A and Service B?

• 1

• 2

• 7

• 11