Equivalent expressions of functions
Speeding car
A police motorcycle and a police car both left town on the same
northbound road at 6 am. The motorcycle rode at 60 km per hour;
the car drove at 80 km per hour. The graphs
in the figure represent the distances travelled by each vehicle.
At 7 am, a sports car, also heading north, raced past the police motorcycle
at a speed that seemed to be over the limit. The policeman on the
motorcycle reported the event to his colleague in the car.
At 7:30 the sports car passed the police car. The police officer
in the car turned on the siren and stopped the sports car.
|
|
|
|
|
|
Distance from town (km) |
| time (hours) |
|
|
|
|
Constuct a function describing the position of the sports car
over time.
|
|
|
What was the speed of the sports car?
|
|
|
When did the sports car leave town?
Construct a correspondence rule for the positions of the sports car that emphasizes this information.
|
|
|
Construct correspondence rules for the
functions describing the positions of the police motorcycle and of the
sports car, which emphasizes the time and place at which
the sports car passed the motorcycle.
|
|
|
Construct correspondence rules describing
the position of the police car and of the sports car, which
emphasizes the time and place at which the sports car passed
the police car.
|
|
|
|
|
|
|
