Addition and subtraction of linear functions Car chase The following new item appeared in a local paper: Car Thieves Caught After Chase Around midnight on Wednesday a car parked at a gas station on the Tinseltown-Picklesville highway was stolen and driven in the direction of Picklesville. The station owner immediately called the police, and a few minutes later a police car set out from Tinsletown in pursuit. The thieves were caught in less than an hour and arrested. The correspondence rules and the graphs below tell the story of the chase in mathematical representations. f stolen car g police car Distance from Tinsletown (km) time (minutes) Explain the meanings of the correspondence rules and of the numbers that appear in them in terms of the chase. Construct the difference function of the two functions (present a correspondence rule, a graph, and a value table), and discuss the meaning of this function in relation to the story. Add details on the event that did not appear in the newspaper but which you can glean from the functions describing the chase.

Addition of linear functions Subtraction of linear functions Relations between functions and their sum Properties of the difference graph Constructing a difference graph Shared savings Publishing a book Connection to the Internet Car chase Hot and cold drinks Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5