Rate of change of linear functions
Rides

Use the Rides on the Alpha - Omega road tool to represent the following rides between various towns along the road connecting the cities of Alpha and Omega:

  • Eli left Omega at 8 am in the direction of Alpha, driving a heavy truck at 70 kph.
  • Betty left at the same time on her motorcycle from Alpha to Gamma. When she passed Beta she glanced at her watch and saw that it was 8:45 am.
  • Jill left at 9 am from Omega to Gamma on her bicycle, and arrived at 10:30 am.
  • Davie left in his cab from Delta to Alpha at an unknown time. At 9:45 am he notified the dispatcher that he was passsing by Gamma. At 10 am he notified the dispatcher that he was passing by Beta.
    Complete the details not provided in the descriptions, so that you have the following information for each ride: departure and arrival times, duration of the ride, and the vehicle's speed. Use the Rides on the Alpha - Omega road tool to display a graph describing the ride.
  • Construct correspondence rules for each ride, so that you can present all the rides on a single coordinate system. Use the Functions on intervals tool from the general tools list.
  • Report on the times and places of meetings between two vehicles (cases in which a vehicle passed another one going in the same direction or in the opposite one).







  • Change at a constant rate

    Gym
    200-meter dash
    Wages
    Swimming pool
    Burning calories
    Growing hair
    Currency exchange
    Bank accounts
    Value-tables and rate of change
    Rides
    Trips
    Constant and non-constant rate
    Graphs and correspondence-rules

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5