Compare your answers

 

  1. Namet is considering purchasing one of two used cars. The cost to buy the first car is $14 500 and it will cost approximately $0.26 per km for fuel and maintenance. The cost to buy the second car is $12 000 and it will cost approximately $0.29 per km for fuel and maintenance. After how many kilometres of driving will the cost of the two cars be equal?

    1. Write a system of equations to represent this scenario. (Modelling)

      Let C be the total cost of ownership and let K be the number of kilometres driven.




    2. Solve the system of equations. (Analysis)



    3. After how many kilometres of driving will the cost of the two cars be equal? (Interpretation)

      The costs will be equal after approximately 83 333 km.

    4. Does the conclusion agree with the original information? (Was the problem solved?)

      Yes. After driving approximately 83 333 km, both cars will have cost approximately $36 167.